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Softcover ISBN:  9781470437824 
Product Code:  CONM/733 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9781470453565 
Product Code:  CONM/733.E 
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AMS Member Price:  $100.00 
Softcover ISBN:  9781470437824 
eBook ISBN:  9781470453565 
Product Code:  CONM/733.B 
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Book DetailsContemporary MathematicsVolume: 733; 2019; 300 ppMSC: Primary 01; 14; 32; 37; 46; 47; 52; 53
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.
ReadershipGraduate students and research mathematicians interested in functional analysis, operator theory, SCV, interval, convex, algebraic geometry, and the history of mathematics.

Table of Contents

Articles

Peter Kuchment and Evgeny Semenov — Introduction

T. Voronina (nee Krein) — My father Selim Krein

Yu. M. Berezansky — Kyiv, Fall of 1943 through 1946. The rebirth of mathematics

David G. Ebin — Selim Gregorievich Krein in Stony Brook

Mark Agranovsky — On algebraically integrable bodies

Sergey V. Astashkin — Rearrangement invariant spaces satisfying DunfordPettis criterion of weak compactness

Genrich Belitskii and Victoria Rayskin — A new method of extension of local maps of Banach spaces. Applications and examples

Yu. M. Berezansky and A. A. Kalyuzhnyi — Two consequences of the associativity condition for a hypercomplex system with locally compact basis

William O. Bray and Boris Rubin — Inversion formulas of integral geometry in real hyperbolic space

V. M. Buchstaber and A. A. Glutsyuk — Total positivity, Grassmannian and modified Bessel functions

C. Ciliberto, F. Flamini and M. Zaidenberg — A remark on the intersection of plane curves

A. T. Fomenko and V. V. Vedyushkina — Topological billiards, conservation laws and classification of trajectories

Letterio Gatto and Inna Scherbak — Hasse–Schmidt derivations and Cayley–Hamilton theorem for exterior algebras

Simon Gindikin — Complex analysis on the real sphere, or variations on a Maxwell’s theme

Gisele Ruiz Goldstein, Jerome A. Goldstein, Giorgio Metafune and Luigi Negro — The weighted Laplace transform

Shulim Kaliman — Surfaces with big automorphism groups

Peter Kuchment and Sergey Lvin — Some binomial formulas for noncommuting operators

Jürgen Leiterer — Similarity of holomorphic matrices on 1dimensional Stein spaces

Vitali Milman and Liran Rotem — Weighted geometric means of convex bodies

Isaac Z. Pesenson — Sobolev, Besov and PaleyWiener vectors in Banach and Hilbert spaces

Grigori Rozenblum and Nikolai Vasilevski — Toeplitz operators in polyanalytic Bergman type spaces

Serguei Samborski — Complete metric space of Riemann integrable functions and differential calculus in it


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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.
Graduate students and research mathematicians interested in functional analysis, operator theory, SCV, interval, convex, algebraic geometry, and the history of mathematics.

Articles

Peter Kuchment and Evgeny Semenov — Introduction

T. Voronina (nee Krein) — My father Selim Krein

Yu. M. Berezansky — Kyiv, Fall of 1943 through 1946. The rebirth of mathematics

David G. Ebin — Selim Gregorievich Krein in Stony Brook

Mark Agranovsky — On algebraically integrable bodies

Sergey V. Astashkin — Rearrangement invariant spaces satisfying DunfordPettis criterion of weak compactness

Genrich Belitskii and Victoria Rayskin — A new method of extension of local maps of Banach spaces. Applications and examples

Yu. M. Berezansky and A. A. Kalyuzhnyi — Two consequences of the associativity condition for a hypercomplex system with locally compact basis

William O. Bray and Boris Rubin — Inversion formulas of integral geometry in real hyperbolic space

V. M. Buchstaber and A. A. Glutsyuk — Total positivity, Grassmannian and modified Bessel functions

C. Ciliberto, F. Flamini and M. Zaidenberg — A remark on the intersection of plane curves

A. T. Fomenko and V. V. Vedyushkina — Topological billiards, conservation laws and classification of trajectories

Letterio Gatto and Inna Scherbak — Hasse–Schmidt derivations and Cayley–Hamilton theorem for exterior algebras

Simon Gindikin — Complex analysis on the real sphere, or variations on a Maxwell’s theme

Gisele Ruiz Goldstein, Jerome A. Goldstein, Giorgio Metafune and Luigi Negro — The weighted Laplace transform

Shulim Kaliman — Surfaces with big automorphism groups

Peter Kuchment and Sergey Lvin — Some binomial formulas for noncommuting operators

Jürgen Leiterer — Similarity of holomorphic matrices on 1dimensional Stein spaces

Vitali Milman and Liran Rotem — Weighted geometric means of convex bodies

Isaac Z. Pesenson — Sobolev, Besov and PaleyWiener vectors in Banach and Hilbert spaces

Grigori Rozenblum and Nikolai Vasilevski — Toeplitz operators in polyanalytic Bergman type spaces

Serguei Samborski — Complete metric space of Riemann integrable functions and differential calculus in it