TY - INPR A1 - Vasiliev, Serguei A1 - Tarkhanov, Nikolai Nikolaevich T1 - Construction of series of perfect lattices by layer superposition N2 - We construct a new series of perfect lattices in n dimensions by the layer superposition method of Delaunay-Barnes. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 5 (2016)11 KW - lattice packing and covering KW - polyhedra and polytopes KW - regular figures KW - division of spaces Y1 - 2016 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-100591 SN - 2193-6943 VL - 5 IS - 11 PB - Universitätsverlag Potsdam CY - Potsdam ER - TY - INPR A1 - Tarkhanov, Nikolai Nikolaevich A1 - Wallenta, Daniel T1 - The Lefschetz number of sequences of trace class curvature N2 - For a sequence of Hilbert spaces and continuous linear operators the curvature is defined to be the composition of any two consecutive operators. This is modeled on the de Rham resolution of a connection on a module over an algebra. Of particular interest are those sequences for which the curvature is "small" at each step, e.g., belongs to a fixed operator ideal. In this context we elaborate the theory of Fredholm sequences and show how to introduce the Lefschetz number. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1 (2012) 3 KW - Perturbed complexes KW - curvature KW - Lefschetz number Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-56969 ER - TY - BOOK A1 - Tarkhanov, Nikolai Nikolaevich A1 - Vasilevski, Nikolai T1 - Microlocal analysis of the Bochner-Martinelli Integral T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2005 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - INPR A1 - Tarkhanov, Nikolai Nikolaevich A1 - Vasilevski, Nikolai T1 - Microlocal analysis of the Bochner-Martinelli integral N2 - In order to characterise the C*-algebra generated by the singular Bochner-Martinelli integral over a smooth closed hypersurfaces in Cn, we compute its principal symbol. We show then that the Szegö projection belongs to the strong closure of the algebra generated by the singular Bochner-Martinelli integral. T3 - Preprint - (2005) 25 Y1 - 2005 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-30012 ER - TY - JOUR A1 - Tarkhanov, Nikolai Nikolaevich T1 - Cancellation of a Publication JF - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2008 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Tarkhanov, Nikolai Nikolaevich T1 - Euler characteristic of Fredholm quasicomplexes T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2006 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Tarkhanov, Nikolai Nikolaevich T1 - Unitary solutions of paratial differential equations T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2005 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Tarkhanov, Nikolai Nikolaevich T1 - Harmonic integrals on domains with edges T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2004 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Tarkhanov, Nikolai Nikolaevich T1 - Operator algebras related to the Bochner-Matinelli integral T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2005 SN - 1437-739X PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Tarkhanov, Nikolai Nikolaevich T1 - Root functions of elliptic boundary problems in domains with conic points on the boundary T3 - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell Y1 - 2005 SN - 1437-739X PB - Univ. CY - Potsdam ER -