Functional Analysis and Geometry: Selim Grigorievich Krein Centennial

Functional Analysis and Geometry: Selim Grigorievich Krein Centennial PDF Author: Peter Kuchment
Publisher: American Mathematical Soc.
ISBN: 1470437821
Category : Festschriften
Languages : en
Pages : 300

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Book 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, 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.

Functional Analysis and Geometry: Selim Grigorievich Krein Centennial

Functional Analysis and Geometry: Selim Grigorievich Krein Centennial PDF Author: Peter Kuchment
Publisher: American Mathematical Soc.
ISBN: 1470437821
Category : Festschriften
Languages : en
Pages : 300

Get Book

Book 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, 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.

Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial

Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial PDF Author: Peter Kuchment
Publisher: American Mathematical Soc.
ISBN: 147043783X
Category : Differential equations
Languages : en
Pages : 117

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Book Description
This is the second of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 733. 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 ordinary and partial differential equations, fluid dynamics, and various applications.

Operator Algebras, Toeplitz Operators and Related Topics

Operator Algebras, Toeplitz Operators and Related Topics PDF Author: Wolfram Bauer
Publisher: Springer Nature
ISBN: 3030446514
Category : Mathematics
Languages : en
Pages : 467

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Book Description
This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications. Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.

Liouville-Riemann-Roch Theorems on Abelian Coverings

Liouville-Riemann-Roch Theorems on Abelian Coverings PDF Author: Minh Kha
Publisher: Springer Nature
ISBN: 3030674282
Category : Mathematics
Languages : en
Pages : 96

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Book Description
This book is devoted to computing the index of elliptic PDEs on non-compact Riemannian manifolds in the presence of local singularities and zeros, as well as polynomial growth at infinity. The classical Riemann–Roch theorem and its generalizations to elliptic equations on bounded domains and compact manifolds, due to Maz’ya, Plameneskii, Nadirashvilli, Gromov and Shubin, account for the contribution to the index due to a divisor of zeros and singularities. On the other hand, the Liouville theorems of Avellaneda, Lin, Li, Moser, Struwe, Kuchment and Pinchover provide the index of periodic elliptic equations on abelian coverings of compact manifolds with polynomial growth at infinity, i.e. in the presence of a "divisor" at infinity. A natural question is whether one can combine the Riemann–Roch and Liouville type results. This monograph shows that this can indeed be done, however the answers are more intricate than one might initially expect. Namely, the interaction between the finite divisor and the point at infinity is non-trivial. The text is targeted towards researchers in PDEs, geometric analysis, and mathematical physics.

Twelve Papers on Functional Analysis and Geometry

Twelve Papers on Functional Analysis and Geometry PDF Author:
Publisher: American Mathematical Soc.
ISBN: 9780821896563
Category : Mathematics
Languages : en
Pages : 270

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Book Description


Geometric Aspects of Functional Analysis

Geometric Aspects of Functional Analysis PDF Author: Bo'az Klartag
Publisher: Springer
ISBN: 3642298494
Category : Mathematics
Languages : en
Pages : 444

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Book Description
This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of Asymptotic Geometric Analysis, understood in a broad sense, and are a source of inspiration for new research. Most of the papers deal with various aspects of the theory, including classical topics in the geometry of convex bodies, inequalities involving volumes of such bodies or more generally, logarithmically-concave measures, valuation theory, probabilistic and isoperimetric problems in the combinatorial setting, volume distribution on high-dimensional spaces and characterization of classical constructions in Geometry and Analysis (like the Legendre and Fourier transforms, derivation and others). All the papers here are original research papers.

Geometric Functional Analysis and Its Applications

Geometric Functional Analysis and Its Applications PDF Author: R. B Holmes
Publisher:
ISBN: 9781468493702
Category :
Languages : en
Pages : 260

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Book Description


Geometric Aspects of Functional Analysis

Geometric Aspects of Functional Analysis PDF Author: Vitali D. Milman
Publisher:
ISBN: 9783662205044
Category :
Languages : en
Pages : 444

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Book Description


Geometric Aspects of Functional Analysis

Geometric Aspects of Functional Analysis PDF Author: Joram Lindenstrauss
Publisher:
ISBN: 9783662198711
Category :
Languages : en
Pages : 208

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Book Description


Functional Analysis and Infinite-Dimensional Geometry

Functional Analysis and Infinite-Dimensional Geometry PDF Author: Marian Fabian
Publisher: Springer Science & Business Media
ISBN: 1475734808
Category : Mathematics
Languages : en
Pages : 455

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Book Description
This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints.