Kuchment P., Semenov E. (Eds.) Functional Analysis and Geometry: Selim Grigorievich Krein Centennial

American Mathematical Society, 2019. — 314 p. — (Contemporary Mathematics 733). — ISBN: 9781470437824.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.My father Selim Krein
Kyiv, Fall of 1943 through 1946. The rebirth of mathematics
Selim Grigorievich Krein in Stony Brook
On algebraically integrable bodies
Rearrangement invariant spaces satisfying Dunford-Pettis criterion of weak compactness
A new method of extension of local maps of Banach spaces. Applications and examples
Two consequences of the associativity condition for a hypercomplex system with locally compact basis
Inversion formulas of integral geometry in real hyperbolic space
Total positivity, Grassmannian and modified Bessel functions
A remark on the intersection of plane curves
Topological billiards, conservation laws and classification of trajectories
Hasse–Schmidt Derivations and Cayley–Hamilton theorem for exterior algebras
Complex analysis on the real sphere, or variations on a Maxwell’s theme
The weighted Laplace transform
Surfaces with big automorphism groups
Some binomial formulas for non-commuting operators
Similarity of holomorphic matrices on 1-dimensional Stein spaces
Weighted geometric means of convex bodies
Sobolev, Besov and Paley-Wiener vectors in Banach and Hilbert spaces
Toeplitz operators in polyanalytic Bergman type spaces
Complete metric space of Riemann integrable functions and differential