Functional Analysis and Geometry

Selim Grigorievich Krein Centennial

Häftad, Engelska, 2019

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This is the first of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 734.Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the former Soviet Union.The articles contained in this volume are written by prominent mathematicians, former students and colleagues of Selim Krein, as well as lecturers and participants of Voronezh Winter Schools. They are devoted to a variety of contemporary problems in functional analysis, operator theory, several complex variables, topological dynamics, and algebraic, convex, and integral geometry.

Produktinformation

Utgivningsdatum2019-08-30
Mått178 x 254 x undefined mm
Vikt450 g
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor300
FörlagAmerican Mathematical Society
ISBN9781470437824

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Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

P. Kuchment and E. Semenov, IntroductionT. Voronina (nee Krein), My father Selim KreinY. M. Berezansky, Kyiv, Fall of 1943 through 1946. The rebirth of mathematicsD. G. Ebin, Selim Gregorievich Krein in Stony BrookM. Agranovsky, On algebraically integrable bodiesS. V. Astashkin, Rearrangement invariant spaces satisfying Dunford-Pettis criterion of weak compactnessG. Belitskii and V. Rayskin, A new method of extension of local maps of Banach spaces. Applications and examplesY. M. Berezansky and A. A. Kalyuzhnyi, Two consequences of the associativity condition for a hypercomplex system with locally compact basisW. O. Bray and B. Rubin, Inversion formulas of integral geometry in real hyperbolic spaceV. M. Buchstaber and A. A. Glutsyuk, Total positivity, Grassmannian and modified Bessel functionsC. Ciliberto, F. Flamini, and M. Zaidenberg, A remark on the intersection of plane curvesA. T. Fomenko and V. V. Vedyushkina, Topological billiards, conservation laws and classification of trajectoriesL. Gatto and I. Scherbak, Hasse-Schmidt derivations and Cayley-Hamilton theorem for exterior algebrasS. Gindikin, Complex analysis on the real sphere, or variations on a Maxwell's themeG. R. Goldstein, J. A. Goldstein, G. Metafune, and L. Negro, The weighted Laplace transformS. Kaliman, Surfaces with big automorphism groupsP. Kuchment and S. Lvin, Some binomial formulas for non-commuting operatorsJ. Leiterer, Similarity of holomorphic matrices on 1-dimensional Stein spacesV. Milman and L. Rotem, Weighted geometric means of convex bodiesI. Z. Pesenson, Sobolev, Besov and Paley-Wiener vectors in Banach and Hilbert spacesG. Rozenblum and N. Vasilevski, Toeplitz operators in polyanalytic Bergman type spacesS. Samborski, Complete metric space of Riemann integrable functions and differential calculus in it.