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Toeplitz operators, and ellipticity of boundary value problems with global projection conditions
(2003)
The homotopy classification and the index of boundary value problems for general elliptic operators
(1999)
The equivalence of Darmois-Israel- and distributional-method for thin shells in general relavitity
(1996)
Symplectic geometry, wigner-weyl-moyal calculus, and quantum mechanics, in phase space ; Part 3
(2006)
Symplectic geometry, wigner-weyl-moyal calculus, and quantum mechanics, in phase space ; Part 2
(2006)
Symplectic geometry, wigner-weyl-moyal calculus, and quantum mechanics, in phase space ; Part 1
(2006)
A doppelalgebra is an algebra defined on a vector space with two binary linear associative operations. Doppelalgebras play a prominent role in algebraic K-theory. We consider doppelsemigroups, that is, sets with two binary associative operations satisfying the axioms of a doppelalgebra. Doppelsemigroups are a generalization of semigroups and they have relationships with such algebraic structures as interassociative semigroups, restrictive bisemigroups, dimonoids, and trioids.
In the lecture notes numerous examples of doppelsemigroups and of strong doppelsemigroups are given. The independence of axioms of a strong doppelsemigroup is established. A free product in the variety of doppelsemigroups is presented. We also construct a free (strong) doppelsemigroup, a free commutative (strong) doppelsemigroup, a free n-nilpotent (strong) doppelsemigroup, a free n-dinilpotent (strong) doppelsemigroup, and a free left n-dinilpotent doppelsemigroup. Moreover, the least commutative congruence, the least n-nilpotent congruence, the least n-dinilpotent congruence on a free (strong) doppelsemigroup and the least left n-dinilpotent congruence on a free doppelsemigroup are characterized.
The book addresses graduate students, post-graduate students, researchers in algebra and interested readers.
Relative elliptic theory
(2002)
Pseudodifferential Operators
(2003)
Pseudodifferential analysis on manifolds with boundary - a comparsion of b-calculus and cone algebra
(1999)
The XI international conference Stochastic and Analytic Methods in Mathematical Physics was held in Yerevan 2 – 7 September 2019 and was dedicated to the memory of the great mathematician Robert Adol’fovich Minlos, who passed away in January 2018.
The present volume collects a large majority of the contributions presented at the conference on the following domains of contemporary interest: classical and quantum statistical physics, mathematical methods in quantum mechanics, stochastic analysis, applications of point processes in statistical mechanics. The authors are specialists from Armenia, Czech Republic, Denmark, France, Germany, Italy, Japan, Lithuania, Russia, UK and Uzbekistan.
A particular aim of this volume is to offer young scientists basic material in order to inspire their future research in the wide fields presented here.