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Publisher’s description: This is the first of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics 734 [the authors, Differential equations, mathematical physics, and applications. Selim Grigorievich Krein Centennial. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1420.35009)].
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.
The articles of this volume will be reviewed individually.
Indexed articles:
Kuchment, Peter; Semenov, Evgeny, Introduction, 1-15 [Zbl 1437.01032]
Voronina (nee Krein), Tatiana, My father Selim Krein, 17-22 [Zbl 1425.01106]
Berezansky, Yu. M., Kyiv, fall of 1943 through 1946. The rebirth of mathematics, 23-28 [Zbl 1425.01060]
Ebin, David G., Selim Gregorievich Krein in Stony Brook, 29-31 [Zbl 1425.01071]
Agranovsky, Mark, On algebraically integrable bodies, 33-44 [Zbl 1432.52009]
Astashkin, Sergey V., Rearrangement invariant spaces satisfying Dunford-Pettis criterion of weak compactness, 45-59 [Zbl 1443.46018]
Belitskii, Genrich; Rayskin, Victoria, A new method of extension of local maps of Banach spaces. Applications and examples, 61-72 [Zbl 1429.26042]
Berezansky, Yu. M.; Kalyuzhnyi, A. A., Two consequences of the associativity condition for a hypercomplex system with locally compact basis, 73-80 [Zbl 1426.43005]
Bray, William O.; Rubin, Boris, Inversion formulas of integral geometry in real hyperbolic space, 81-96 [Zbl 1436.44003]
Buchstaber, V. M.; Glutsyuk, A. A., Total positivity, Grassmannian and modified Bessel functions, 97-107 [Zbl 1427.14102]
Ciliberto, C.; Flamini, F.; Zaidenberg, Mikhail, A remark on the intersection of plane curves, 109-128 [Zbl 1443.14035]
Fomenko, A. T.; Vedyushkina, V. V., Topological billiards, conservation laws and classification of trajectories, 129-148 [Zbl 1426.37047]
Gatto, Letterio; Scherbak, Inna, Hasse-Schmidt derivations and Cayley-Hamilton theorem for exterior algebras, 149-165 [Zbl 1432.15024]
Gindikin, Simon, Complex analysis on the real sphere, or variations on a Maxwell’s theme, 167-174 [Zbl 1434.32011]
Goldstein, Gisele Ruiz; Goldstein, Jerome A.; Metafune, Giorgio; Negro, Luigi, The weighted Laplace transform, 175-184 [Zbl 1436.44001]
Kaliman, Shulim, Surfaces with big automorphism groups, 185-196 [Zbl 1423.14344]
Kuchment, Peter; Lvin, Sergey, Some binomial formulas for non-commuting operators, 197-207 [Zbl 1447.47036]
Leiterer, Jürgen, Similarity of holomorphic matrices on 1-dimensional Stein spaces, 209-231 [Zbl 1434.32016]
Milman, Vitali; Rotem, Liran, Weighted geometric means of convex bodies, 233-249 [Zbl 1430.52003]
Pesenson, Isaac Z., Sobolev, Besov and Paley-Wiener vectors in Banach and Hilbert spaces, 251-272 [Zbl 1428.43010]
Rozenblum, Grigori; Vasilevski, Nikolai, Toeplitz operators in polyanalytic Bergman type spaces, 273-290 [Zbl 1441.30081]
Samborski, Serguei, Complete metric space of Riemann integrable functions and differential calculus in it, 291-300 [Zbl 1443.46021]