Refine
Has Fulltext
- yes (177) (remove)
Year of publication
- 2006 (177) (remove)
Document Type
- Doctoral Thesis (46)
- Article (32)
- Conference Proceeding (32)
- Postprint (26)
- Preprint (24)
- Monograph/Edited Volume (10)
- Master's Thesis (3)
- Working Paper (2)
- Part of a Book (1)
- Other (1)
Language
- English (177) (remove)
Keywords
- Fluoreszenz-Resonanz-Energie-Transfer (3)
- Immunoassay (3)
- Nanopartikel (3)
- Nichtlineare Dynamik (3)
- Optimality Theory (3)
- Polyelektrolyt (3)
- climate change (3)
- Ackerschmalwand (2)
- Adverbial Quantification (2)
- Adverbs of Frequency (2)
Institute
- Extern (37)
- Institut für Mathematik (26)
- Department Linguistik (21)
- Institut für Physik und Astronomie (19)
- Institut für Anglistik und Amerikanistik (17)
- Institut für Biochemie und Biologie (17)
- Institut für Chemie (14)
- Interdisziplinäres Zentrum für Musterdynamik und Angewandte Fernerkundung (11)
- Institut für Geowissenschaften (9)
- Department Psychologie (7)
- Institut für Informatik und Computational Science (6)
- Wirtschaftswissenschaften (5)
- Institut für Umweltwissenschaften und Geographie (4)
- Hasso-Plattner-Institut für Digital Engineering gGmbH (3)
- WeltTrends e.V. Potsdam (3)
- Historisches Institut (2)
- Interdisziplinäres Zentrum für Dynamik komplexer Systeme (2)
- Department Erziehungswissenschaft (1)
- Department Sport- und Gesundheitswissenschaften (1)
- Institut für Romanistik (1)
- Sozialwissenschaften (1)
We present an approach to generate (multivariate) twin surrogates (TS) based on recurrence properties. This technique generates surrogates which correspond to an independent copy of the underlying system, i. e. they induce a trajectory of the underlying system starting at different initial conditions. We show that these surrogates are well suited to test for complex synchronisation and exemplify this for the paradigmatic system of R¨ossler oscillators. The proposed test enables to assess the statistical relevance of a synchronisation analysis from passive experiments which are typical in natural systems.
Reading requires the orchestration of visual, attentional, language-related, and oculomotor processing constraints. This study replicates previous effects of frequency, predictability, and length of fixated words on fixation durations in natural reading and demonstrates new effects of these variables related to previous and next words. Results are based on fixation durations recorded from 222 persons, each reading 144 sentences. Such evidence for distributed processing of words across fixation durations challenges psycholinguistic immediacy-of-processing and eye-mind assumptions. Most of the time the mind processes several words in parallel at different perceptual and cognitive levels. Eye movements can help to unravel these processes.
When the eyes fixate at a point in a visual scene, small saccades rapidly shift the image on the retina. The effect of these microsaccades on the latency of subsequent large-scale saccades may be twofold. First, microsaccades are associated with an enhancement of visual perception. Their occurrence during saccade target perception should, thus, decrease saccade latencies. On the other hand, microsaccades likely indicate activity in fixation-related oculomotor neurons. These represent competitors to saccade-related cells in the interplay of gaze holding and shifting. Consequently, an increase in saccade latencies after microsaccades would be expected. Here, we present evidence for both aspects of microsaccadic impact on saccade latency. In a delayed response task, participants made saccades to visible or memorized targets. First, microsaccade occurrence up to 50 ms before target disappearance correlated with 18 ms (or 8%) faster saccades to memorized targets. Second, if microsaccades occurred shortly (i.e., < 150 ms) before a saccade was required, saccadic reaction times in visual and memory trials were increased by about 40 ms (or 16%). Hence, microsaccades can have opposite consequences for saccade latencies, pointing at a differential role of these fixational eye movements in preparation of motor programs.
In this paper we present an approach to recover the dynamics from recurrences of a system and then generate (multivariate) twin surrogate (TS) trajectories. In contrast to other approaches, such as the linear-like surrogates, this technique produces surrogates which correspond to an independent copy of the underlying system, i. e. they induce a trajectory of the underlying system visiting the attractor in a different way. We show that these surrogates are well suited to test for complex synchronization, which makes it possible to systematically assess the reliability of synchronization analyses. We then apply the TS to study binocular fixational movements and find strong indications that the fixational movements of the left and right eye are phase synchronized. This result indicates that there might be one centre only in the brain that produces the fixational movements in both eyes or a close link between two centres.
The accelerated life time model is considered. First, test procedures for testing the parameter of a parametric acceleration function is investigated; this is done under the assumption of parametric and nonparametric baseline distribution. Further, based on nonparametric estimators for regression functions tests are proposed for checking whether a parametric acceleration function is appropriate to model the influence of the covariates. Resampling procedures are discussed for the realization of these methods. Simulations complete the considerations.
We consider the problem of testing whether the density of a mul- tivariate random variable can be expressed by a prespecified copula function and the marginal densities. The proposed test procedure is based on the asymptotic normality of the properly standardized integrated squared distance between a multivariate kernel density estimator and an estimator of its expectation under the hypothesis. The test of independence is a special case of this approach.
Forum: EU-Diplomatie im Jahre 2020
Forum: EU-Diplomatie im Jahre 2020
Forum: EU-Diplomatie im Jahre 2020
Soil seed banks near rubbing trees indicate dispersal of plant species into forests by wild boar
(2006)
Current knowledge about processes that generate long-distance dispersal of plants is still limited despite its importance for persistence of populations and colonization of new potential habitats. Today wild large mammals are presumed to be important vectors for long-distance transport of diaspores within and between European temperate forest patches, and in particular wild boars recently came into focus. Here we use a specific habit of wild boar, i.e. wallowing in mud and subsequent rubbing against trees, to evaluate epizoic dispersal of vascular plant diaspores. We present soil seed bank data from 27 rubbing trees versus 27 control trees from seven forest areas in Germany. The mean number of viable seeds and the plant species number were higher in soil samples near rubbing trees compared with control trees. Ten of the 20 most frequent species were more frequent, and many species exclusively appeared in the soil samples near rubbing trees. The large number of plant species and seeds – approximated > 1000 per tree – in the soils near rubbing trees is difficult to explain unless the majority were dispersed by wild boar. Hooked and bristly diaspores, i.e. those adapted to epizoochory, were more frequent, above that many species with unspecialised diaspores occurred exclusively near rubbing trees. Different to plant species closely tied to forest species which occur both in forest and open vegetation, and non-forest species were more frequent near rubbing trees compared with controls. These findings are consistent with previous studies on diaspore loads in the coats and hooves of shot wild boars. However, our method allows to identify the transport of diaspores from the open landscape into forest stands where they might especially emerge after disturbance, and a clustered distribution of epizoochorically dispersed seeds. Moreover, accumulation of seeds of wetness indicators near rubbing trees demonstrates directed dispersal of plant species inhabiting wet places between remote wallows.
The biogenic amine serotonin (5-HT) plays a key role in the regulation and modulation of many physiological and behavioural processes in both vertebrates and invertebrates. These functions are mediated through the binding of serotonin to its receptors, of which 13 subtypes have been characterized in vertebrates. We have isolated a cDNA from the honeybee Apis mellifera (Am5-ht7) sharing high similarity to members of the 5-HT7 receptor family. Expression of the Am5-HT7 receptor in HEK293 cells results in an increase in basal cAMP levels, suggesting that Am5-HT7 is expressed as a constitutively active receptor. Serotonin application to Am5-ht7-transfected cells elevates cyclic adenosine 3',5'-monophosphate (cAMP) levels in a dose-dependent manner (EC50 = 1.1-1.8 nM). The Am5-HT7 receptor is also activated by 5-carboxamidotryptamine, whereas methiothepin acts as an inverse agonist. Receptor expression has been investigated by RT-PCR, in situ hybridization, and western blotting experiments. Receptor mRNA is expressed in the perikarya of various brain neuropils, including intrinsic mushroom body neurons, and in peripheral organs. This study marks the first comprehensive characterization of a serotonin receptor in the honeybee and should facilitate further analysis of the role(s) of the receptor in mediating the various central and peripheral effects of 5-HT.
Biogenic amines are important messenger substances in the central nervous system and in peripheral organs of vertebrates and of invertebrates. The honeybee, Apis mellifera, is excellently suited to uncover the functions of biogenic amines in behaviour, because it has an extensive behavioural repertoire, with a number of biogenic amine receptors characterised in this insect. In the honeybee, the biogenic amines dopamine, octopamine, serotonin and tyramine modulate neuronal functions in various ways. Dopamine and serotonin are present in high concentrations in the bee brain, whereas octopamine and tyramine are less abundant. Octopamine is a key molecule for the control of honeybee behaviour. It generally has an arousing effect and leads to higher sensitivity for sensory inputs, better learning performance and increased foraging behaviour. Tyramine has been suggested to act antagonistically to octopamine, but only few experimental data are available for this amine. Dopamine and serotonin often have antagonistic or inhibitory effects as compared to octopamine. Biogenic amines bind to membrane receptors that primarily belong to the large gene-family of GTP-binding (G) protein coupled receptors. Receptor activation leads to transient changes in concentrations of intracellular second messengers such as cAMP, IP3 and/or Ca2+. Although several biogenic amine receptors from the honeybee have been cloned and characterised more recently, many genes still remain to be identified. The availability of the completely sequenced genome of Apis mellifera will contribute substantially to closing this gap. In this review, we will discuss the present knowledge on how biogenic amines and their receptor-mediated cellular responses modulate different behaviours of honeybees including learning processes and division of labour.
G protein-coupled receptor (GPCR) genes are large gene families in every animal, sometimes making up to 1-2% of the animal's genome. Of all insect GPCRs, the neurohormone (neuropeptide, protein hormone, biogenic amine) GPCRs are especially important, because they, together with their ligands, occupy a high hierarchic position in the physiology of insects and steer crucial processes such as development, reproduction, and behavior. In this paper, we give a review of our current knowledge on Drosophila melanogaster GPCRs and use this information to annotate the neurohormone GPCR genes present in the recently sequenced genome from the honey bee Apis mellifera. We found 35 neuropeptide receptor genes in the honey bee (44 in Drosophila) and two genes, coding for leucine-rich repeats-containing protein hormone GPCRs (4 in Drosophila). In addition, the honey bee has 19 biogenic amine receptor genes (21 in Drosophila). The larger numbers of neurohormone receptors in Drosophila are probably due to gene duplications that occurred during recent evolution of the fly. Our analyses also yielded the likely ligands for 40 of the 56 honey bee neurohormone GPCRs identified in this study. In addition, we made some interesting observations on neurohormone GPCR evolution and the evolution and co-evolution of their ligands. For neuropeptide and protein hormone GPCRs, there appears to be a general co-evolution between receptors and their ligands. This is in contrast to biogenic amine GPCRs, where evolutionarily unrelated GPCRs often bind to the same biogenic amine, suggesting frequent ligand exchanges ("ligand hops") during GPCR evolution. (c) 2006 Elsevier Ltd. All rights reserved.
Content: 1. Introduction 2. Getting to the Seen from the Unseen 2.1. The Theory of the Zones 2.2. Brief Comments on Mechanism 3. The Areal Evidence: Shared Features and Their Dialectal Provenance 4. Explaining the Evidence Seen 4.1. Why It Is Not Due to Mere Misleading Coincidence 4.2. Why It Is Not Due to French Influence 4.3. Why It Is Not Due to Norse Influence 4.4. Why It Is Not Due to English Influence over Brittonic 4.5. Why It Is Due to Brittonic Influence 5. Conclusion 5.1. The Areal Pattern and Its Explanation 5.2. Substrate versus Superstrate 5.3. Some Final Arguments, and Good Questions 6. Addenda
Content: 1. Preverbal Composition in Old Irish and Old English 2. The Shape of the Modern Irish Verbal Lexeme 3. Particle Verbs in Irish and English 3.1. Definitions: Phrasal Verb or Prepositional Verb? 3.2. Examples 3.3. Obvious Similarities 3.4. Irish English Peculiarities 4. The Abolition of Verbal Composition in Irish and English – Parallels and Differences in Historical Syntax 5. Conclusions
Content: 1. Introduction 2. Early Examples of the AFP in Hiberno-English 3. Assessments of the Evidence 4. Attempts to Explain the Early HE Construction 5. Distribution and Function of the AFP in EMI and HE 5.1. The AFP with the Future Tense in Irish 5.2. The AFP with the Secondary Future or Conditional 5.3. The AFP with the Subjunctive 5.5. Functions of the AFP in Early Modern Irish and HE 6. The Restriction of the AFP to the Recent Perfect 7. Conclusions
Content: 1. Perfect to Preterite? 2. A Past Grammaticalisation Path for Be after V-ing 2.1. Perfect Grams and Sources 2.2. Perfect Distinctions and Perfect-Preterite Evolution 3. Semantic History of Past-Time Be After V-ing 3.1. Perfect Uses, 1670-1800 3.2. Perfect Uses, 1801-2000 4. Temporal Adverbials and Uses of Be After V-ing, 1701-2000 4.1. Hodiernal Uses 4.2. Preterite Uses 4.3. How Far Is It after Coming? 5. Conclusion
Irish standard English
(2006)
What’s in an irish name?
(2006)
Content: 1. Introduction: The Irish Patronymic System Prior to 1600 2. Anglicisation Pressure 3. Anglicisation: 1600-1900 3.1. Phonetic Approximation 3.2. Simplification 3.3. Translation 3.4. Mistranslation 3.5. Equivalence with Existing English Surname 3.6. Multiplicity of Anglicised Forms 3.7. Anglicisation of Prefixes 4. The Call to De-Anglicise 5. Current Personal Naming Patterns in Ireland 5.1. Current Modern Irish 6. Traditional Naming: “X (Son/Daughter) of Y (Son/Daughter) of Z” 7. Nicknames 8. Conclusion
Content: 1. Objectives 2. Sociohistorical Background 2.1. The Cornish 2.2. The Welsh 2.3. The Bretons 3. Characteristics of the Brythonic Naming System 3.1. Type 1 Names: Patronymic Lineage 3.2. Type 2 Names: Geographic Origin or Place of Residence 3.3. Type 3 Names: Occupational Activities (Generally Linked to Peasantry) 3.4. Type 4 Names: Physical Characteristics, Moral Flaws 3.5. Type 5 Names: Epithets Relating to Character, Titles of Nobility, etc. 3.6. Epithets Containing References to Victory, War, Warriors, Weapons 3.7. Epithets Containing References to Courage, Strength, Impetuousness and War-like Animals 3.8. Epithets Containing References to Honorific Titles, Noble Lineage, Social Status and Aristocratic Values 4. Summary
What is "Celtic"and what is universal in the "Celtic Englishes"? This was the central concern of the fourth and final Colloquium of studies on language contact between English and the Celtic languages at the University of Potsdam in September 2004. The contributions to this volume discuss the "Celtic" peculiarities of Standard English in England and in Ireland (North and South). They also examine the perceived "Celticity" of personal names in the "Celtic" countries (Ireland, Wales, Cornwall, Brittany). Moreover, they put emphasis on specific grammatical features such as the expression of perfectivity, relativity, intensification and the typological shift of verbal word formation from syntheticity to analycity as well as the emergence of universal contact trends shared by Celtic, African and Indian Englishes. Thus, the choice of contributors and the scope of their articles makes Celtic Englishes IV an invaluable handbook for scholarly work in the field of the English - Celtic relations.
The author's recently published monograph on Alexander von Humboldt[1] describes the multiple images of this great cultural icon. The book is a metabiographical study that shows how from the middle of the nineteenth century to the present day Humboldt has served as a nucleus of crystallisation for a variety of successive socio-political ideologies, each producing its own distinctive representation of him. The historiographical implications of this biographical diversity are profound and support current attempts to understand historical scholarship in terms of memory cultures.
Since 2002, keywords like service-oriented engineering, service-oriented computing, and service-oriented architecture have been widely used in research, education, and enterprises. These and related terms are often misunderstood or used incorrectly. To correct these misunderstandings, a deeper knowledge of the concepts, the historical backgrounds, and an overview of service-oriented architectures is demanded and given in this paper.
E-learning is a flexible and personalized alternative to traditional education. Nonetheless, existing e-learning systems for IT security education have difficulties in delivering hands-on experience because of the lack of proximity. Laboratory environments and practical exercises are indispensable instruction tools to IT security education, but security education in con-ventional computer laboratories poses the problem of immobility as well as high creation and maintenance costs. Hence, there is a need to effectively transform security laboratories and practical exercises into e-learning forms. This report introduces the Tele-Lab IT-Security architecture that allows students not only to learn IT security principles, but also to gain hands-on security experience by exercises in an online laboratory environment. In this architecture, virtual machines are used to provide safe user work environments instead of real computers. Thus, traditional laboratory environments can be cloned onto the Internet by software, which increases accessibilities to laboratory resources and greatly reduces investment and maintenance costs. Under the Tele-Lab IT-Security framework, a set of technical solutions is also proposed to provide effective functionalities, reliability, security, and performance. The virtual machines with appropriate resource allocation, software installation, and system configurations are used to build lightweight security laboratories on a hosting computer. Reliability and availability of laboratory platforms are covered by the virtual machine management framework. This management framework provides necessary monitoring and administration services to detect and recover critical failures of virtual machines at run time. Considering the risk that virtual machines can be misused for compromising production networks, we present security management solutions to prevent misuse of laboratory resources by security isolation at the system and network levels. This work is an attempt to bridge the gap between e-learning/tele-teaching and practical IT security education. It is not to substitute conventional teaching in laboratories but to add practical features to e-learning. This report demonstrates the possibility to implement hands-on security laboratories on the Internet reliably, securely, and economically.
Dynamics in urban environments encompasses complex processes and phenomena such as related to movement (e.g.,traffic, people) and development (e.g., construction, settlement). This paper presents novel methods for creating human-centric illustrative maps for visualizing the movement dynamics in virtual 3D environments. The methods allow a viewer to gain rapid insight into traffic density and flow. The illustrative maps represent vehicle behavior as light threads. Light threads are a familiar visual metaphor caused by moving light sources producing streaks in a long-exposure photograph. A vehicle’s front and rear lights produce light threads that convey its direction of motion as well as its velocity and acceleration. The accumulation of light threads allows a viewer to quickly perceive traffic flow and density. The light-thread technique is a key element to effective visualization systems for analytic reasoning, exploration, and monitoring of geospatial processes.
Holmberg (1997, 1999) assumes that Holmberg's generalisation (HG) is derivational, prohibiting Object Shift (OS) across an intervening non-adverbial element at any point in the derivation. Counterexamples to this hypothesis are given in Fox & Pesetsky (2005) which show that remnant VP-topicalisations are possible in Scandinavian as long as the VP-internal order relations are maintained. Extending the empirical basis concerning remnant VP-topicalisations, we argue that HG and the restrictions on object stranding result from the same, more general condition on order preservation. Considering this condition to be violable and to interact with various constraints on movement in an Optimality-theoretic fashion, we suggest an account for various asymmetries in the interaction between remnant VP-topicalisations and both OS and other movement operations (especially subject raising) as to their order preserving characteristics and stranding abilities.
The main claim of this paper is that the minimalist framework and optimality theory adopt more or less the same architecture of grammar: both assume that a generator defines a set S of potentially well-formed expressions that can be generated on the basis of a given input, and that there is an evaluator that selects the expressions from S that are actually grammatical in a given language L. The paper therefore proposes a model of grammar in which the strengths of the two frameworks are combined: more specifically, it is argued that the computational system of human language CHL from MP creates a set S of potentially well-formed expressions, and that these are subsequently evaluated in an optimality theoretic fashion.
The simple generator
(2006)
I argue that the shift of explanatory burden from the generator to the evaluator in OT syntax – together with the difficulties that arise when we try to formulate a working theory of the interfaces of syntax – leads to a number of assumptions about syntactic structures in OT which are quite different from those typical of minimalist syntax: formal features, as driving forces behind syntactic movement, are useless, and derivational and representational economy are problematic for both empirical and conceptual reasons. The notion of markedness, central in Optimality Theory, is not fully compatible with the idea of synactic economy. Even more so, seemingly obvious cases of blocking by structural economy do not seem to result from grammar proper, but reflect (economical) aspects of language use.
Natural law
(2006)
This work concentrates on the requirements of the computational system of HL, by developing the idea that Natural Law applies to universal syntactic principles. The systems of efficient growth are for the continuation of motion and maximal distance between the elements. The condition of maximization accounts for the properties of syntactic trees - binary branching, labeling, and the EPP. NL justifies the basic principle of organization in Merge: it provides a functional explanation of phase formation and thematic domains. In Optimality Theory, it accounts for the selection of a particular word order in languages. A comprehensive and definitive understanding of the principles underlying MP will eventually lead to a more advanced design of OT.
If we want to compare the explanatory and descriptive adequacy of the MP and OT, the original definitions by Chomsky (1964) are or little direct use. However, a relativized version of both notions can be defined, which can be used to express a number of parallels between the study of individual I-languages and the language faculty. In any version of explanatory and descriptive adequacy, the two notions derive from the research programme and can only be achieved together. They can therefore not be used to characterize the difference in orientation between OT and the MP. Even if ‘OT’ is restricted to a particular theory in Chomskyan linguistics (to the exclusion of, for instance, its use in LFG), it cannot be said to be stronger in descriptive adequacy than in explanatory adequacy in the technical sense of these terms.
Contents: Part I: Symplectic Geometry Chapter 1: Symplectic Spaces and Lagrangian Planes Chapter 2: The Symplectic Group Chapter 3: Multi-Oriented Symplectic Geometry Chapter 4: Intersection Indices in Lag(n) and Sp(n) Part II: Heisenberg Group, Weyl Calculus, and Metaplectic Representation Chapter 5: Lagrangian Manifolds and Quantization Chapter 6: Heisenberg Group and Weyl Operators Chapter 7: The Metaplectic Group Part III: Quantum Mechanics in Phase Space Chapter 8: The Uncertainty Principle Chapter 9: The Density Operator Chapter 10: A Phase Space Weyl Calculus
Differential and pseudo-differential operators on a manifold with (regular) geometric singularities can be studied within a calculus, inspired by the concept of classical pseudo-differential operators on a C1 manifold. In the singular case the operators form an algebra with a principal symbolic hierarchy σ = (σj)0≤j≤k, with k being the order of the singularity and σk operator-valued for k ≥ 1. The symbols determine ellipticity and the nature of parametrices. It is typical in this theory that, similarly as in boundary value problems (which are special edge problems, where the edge is just the boundary), there are trace, potential and Green operators, associated with the various strata of the configuration. The operators, obtained from the symbols by various quantisations, act in weighted distribution spaces with multiple weights. We outline some essential elements of this calculus, give examples and also comment on new challenges and interesting problems of the recent development.
We develop an approach to the problem of optimal recovery of continuous linear functionals in Banach spaces through information on a finite number of given functionals. The results obtained are applied to the problem of the best analytic continuation from a finite set in the complex space Cn, n ≥ 1, for classes of entire functions of exponential type which belong to the space Lp, 1 < p < 1, on the real subspace of Cn. These latter are known as Wiener classes.
On a manifold with edge we construct a specific class of (edgedegenerate) elliptic differential operators. The ellipticity refers to the principal symbolic structure σ = (σψ, σ^) of the edge calculus consisting of the interior and edge symbol, denoted by σψ and σ^, respectively. For our choice of weights the ellipticity will not require additional edge conditions of trace or potential type, and the operators will induce isomorphisms between the respective edge spaces.
We prove the existence of a class of local in time solutions, including static solutions, of the Einstein-Euler system. This result is the relativistic generalisation of a similar result for the Euler-Poisson system obtained by Gamblin [8]. As in his case the initial data of the density do not have compact support but fall off at infinity in an appropriate manner. An essential tool in our approach is the construction and use of weighted Sobolev spaces of fractional order. Moreover, these new spaces allow us to improve the regularity conditions for the solutions of evolution equations. The details of this construction, the properties of these spaces and results on elliptic and hyperbolic equations will be presented in a forthcoming article.
We give a construction of an eigenstate for a non-critical level of the Hamiltonian function, and investigate the contribution of Morse critical points to the spectral decomposition. We compare the rigorous result with the series obtained by a perturbation theory. As an example the relation to the spectral asymptotics is discussed.
On null quadrature domains
(2006)
The characterization of null quadrature domains in Rn (n ≥ 3) has been an open problem throughout the past two and a half decades. A substantial contribution was done by Friedman and Sakai [10]; they showed that if the complement is bounded, then null quadrature domains are exactly the complement of ellip- soids. The first result with unbounded complements appeared in [15], there it is assumed the complement is contained in an infinitely cylinder. The aim of this paper is to show the relation between null quadrature domains and Newton's theorem on the gravitational force induced by homogeneous homoeoidal ellipsoids. We also succeed to make progress in the classification problem and we show that if the boundary of null quadrature domain is contained in a strip and the complement satisfies a certain capacity condition at infinity, then it must be a half-space or a complement of a strip. In addition, we present a Phragm¶en-Lindelöf type theorem which seems to be forgotten in the literature.
It is shown that an elliptic scattering operator A on a compact manifold with boundary with operator valued coefficients in the morphisms of a bundle of Banach spaces of class (HT ) and Pisier’s property (α) has maximal regularity (up to a spectral shift), provided that the spectrum of the principal symbol of A on the scattering cotangent bundle avoids the right half-plane. This is accomplished by representing the resolvent in terms of pseudodifferential operators with R-bounded symbols, yielding by an iteration argument the R-boundedness of λ(A − λ)−1 in R(λ)≥ τ for some τ ∈ IR. To this end, elements of a symbolic and operator calculus of pseudodifferential operators with R-bounded symbols are introduced. The significance of this method for proving maximal regularity results for partial differential operators is underscored by considering also a more elementary situation of anisotropic elliptic operators on Rd with operator valued coefficients.