Twelve Papers on Functional Analysis and Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821896563
Total Pages : 270 pages
Book Rating : 4.8/5 (965 download)

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Book Synopsis Twelve Papers on Functional Analysis and Geometry by :

Download or read book Twelve Papers on Functional Analysis and Geometry written by and published by American Mathematical Soc.. This book was released on 1969-12-31 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Translations, Twelve Papers on Functional Analysis and Geometry

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Publisher :
ISBN 13 :
Total Pages : 258 pages
Book Rating : 4.:/5 (96 download)

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Book Synopsis Translations, Twelve Papers on Functional Analysis and Geometry by : American Mathematical Society

Download or read book Translations, Twelve Papers on Functional Analysis and Geometry written by American Mathematical Society and published by . This book was released on 1969 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Selected Papers on Analysis, Probability, and Statistics

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821875124
Total Pages : 176 pages
Book Rating : 4.8/5 (751 download)

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Book Synopsis Selected Papers on Analysis, Probability, and Statistics by : Katsumi Nomizu

Download or read book Selected Papers on Analysis, Probability, and Statistics written by Katsumi Nomizu and published by American Mathematical Soc.. This book was released on 1994 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents papers in the general area of mathematical analysis as it pertains to probability and statistics, dynamical systems, differential equations, and analytic function theory. Among the topics discussed are: stochastic differential equations, spectra of the Laplacian and Schrödinger operators, nonlinear partial differential equations which generate dissipative dynamical systems, fractal analysis on self-similar sets, and the global structure of analytic functions.

Singularity Theory and Some Problems of Functional Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821875025
Total Pages : 212 pages
Book Rating : 4.8/5 (75 download)

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Book Synopsis Singularity Theory and Some Problems of Functional Analysis by : Semen Grigorʹevich Gindikin

Download or read book Singularity Theory and Some Problems of Functional Analysis written by Semen Grigorʹevich Gindikin and published by American Mathematical Soc.. This book was released on 1992 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emergence of singularity theory marks the return of mathematics to the study of the simplest analytical objects: functions, graphs, curves, surfaces. The modern singularity theory for smooth mappings, which is currently undergoing intensive developments, can be thought of as a crossroad where the most abstract topics (such as algebraic and differential geometry and topology, complex analysis, invariant theory, and Lie group theory) meet the most applied topics (such as dynamical systems, mathematical physics, geometrical optics, mathematical economics, and control theory). The papers in this volume include reviews of established areas as well as presentations of recent results in singularity theory. The authors have paid special attention to examples and discussion of results rather than burying the ideas in formalism, notation, and technical details. The aim is to introduce all mathematicians - as well as physicists, engineers, and other consumers of singularity theory - to the world of ideas and methods in this burgeoning area.

Selected topics in discrete mathematics: Proceedings of the Moscow Discrete Mathematics Seminar, 1972-1990

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821895924
Total Pages : 242 pages
Book Rating : 4.8/5 (959 download)

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Book Synopsis Selected topics in discrete mathematics: Proceedings of the Moscow Discrete Mathematics Seminar, 1972-1990 by : Alexander K. Kelmans

Download or read book Selected topics in discrete mathematics: Proceedings of the Moscow Discrete Mathematics Seminar, 1972-1990 written by Alexander K. Kelmans and published by American Mathematical Soc.. This book was released on 1994-02-18 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of translations of a variety of papers on discrete mathematics by members of the Moscow Seminar on Discrete Mathematics. This seminar, begun in 1972, was marked by active participation and intellectual ferment. Mathematicians in the USSR often encountered difficulties in publishing, so many interesting results in discrete mathematics remained unknown in the West for some years, and some are unknown even to the present day. To help fill this communication gap, this collection offers papers that were obscurely published and very hard to find. Among the topics covered here are: graph theory, network flow and multicommodity flow, linear programming and combinatorial optimization, matroid theory and submodular systems, matrix theory and combinatorics, parallel computing, complexity of algorithms, random graphs and statistical mechanics, coding theory, and algebraic combinatorics and group theory.

Geometric Nonlinear Functional Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 0821808354
Total Pages : 503 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Geometric Nonlinear Functional Analysis by : Yoav Benyamini

Download or read book Geometric Nonlinear Functional Analysis written by Yoav Benyamini and published by American Mathematical Soc.. This book was released on 2000 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic study of geometric nonlinear functional analysis. The main theme is the study of uniformly continuous and Lipschitz functions between Banach spaces. This study leads to the classification of Banach spaces and of their important subsets in the uniform and Lipschitz categories.

Wave propagation. Scattering theory

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821895917
Total Pages : 274 pages
Book Rating : 4.8/5 (959 download)

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Book Synopsis Wave propagation. Scattering theory by : M. Sh Birman

Download or read book Wave propagation. Scattering theory written by M. Sh Birman and published by American Mathematical Soc.. This book was released on 1993-12-20 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this collection were written primarily by members of the St. Petersburg seminar in mathematical physics. The seminar, now run by O. A. Ladyzhenskaya, was initiated in 1947 by V. I. Smirnov, to whose memory this volume is dedicated. The papers in the collection are devoted mainly to wave propagation processes, scattering theory, integrability of nonlinear equations, and related problems of spectral theory of differential and integral operators. The book is of interest to mathematicians working in mathematical physics and differential equations, as well as to physicists studying various wave propagation processes.

Ordered Sets and Lattices II

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821895887
Total Pages : 262 pages
Book Rating : 4.8/5 (958 download)

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Book Synopsis Ordered Sets and Lattices II by :

Download or read book Ordered Sets and Lattices II written by and published by American Mathematical Soc.. This book was released on with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This indispensable reference source contains a wealth of information on lattice theory. The book presents a survey of virtually everything published in the fields of partially ordered sets, semilattices, lattices, and Boolean algebras that was reviewed in Referativnyi Zhurnal Matematika from mid-1982 to the end of 1985. A continuation of a previous volume (the English translation of which was published by the AMS in 1989, as volume 141 in Translations - Series 2), this comprehensive work contains more than 2200 references. Many of the papers covered here were originally published in virtually inaccessible places. The compilation of the volume was directed by Milan Kolibiar of Comenius University at Bratislava and Lev A. Skornyakov of Moscow University. Of interest to mathematicians, as well as to philosophers and computer scientists in certain areas, this unique compendium is a must for any mathematical library.

Applied Problems of Radon Transform

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821875087
Total Pages : 276 pages
Book Rating : 4.8/5 (75 download)

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Book Synopsis Applied Problems of Radon Transform by : Semen Grigorʹevich Gindikin

Download or read book Applied Problems of Radon Transform written by Semen Grigorʹevich Gindikin and published by American Mathematical Soc.. This book was released on 1994 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection is designed to acquaint readers with advances in Radon transforms carried out in the former Soviet Union. The papers focus on mathematical problems related to applications of Radon transforms. Some of the problems arose from practical tomography, while others are theoretical problems originating in tomography. The book should be of use to mathematicians working in integral geometry and mathematical problems of tomography, as well as scientists who work on inverse problems and their computer realization.

Geometric Functional Analysis and its Applications

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Publisher : Springer
ISBN 13 : 9781468493719
Total Pages : 0 pages
Book Rating : 4.4/5 (937 download)

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Book Synopsis Geometric Functional Analysis and its Applications by : R. B. Holmes

Download or read book Geometric Functional Analysis and its Applications written by R. B. Holmes and published by Springer. This book was released on 2012-12-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has evolved from my experience over the past decade in teaching and doing research in functional analysis and certain of its appli cations. These applications are to optimization theory in general and to best approximation theory in particular. The geometric nature of the subjects has greatly influenced the approach to functional analysis presented herein, especially its basis on the unifying concept of convexity. Most of the major theorems either concern or depend on properties of convex sets; the others generally pertain to conjugate spaces or compactness properties, both of which topics are important for the proper setting and resolution of optimization problems. In consequence, and in contrast to most other treatments of functional analysis, there is no discussion of spectral theory, and only the most basic and general properties of linear operators are established. Some of the theoretical highlights of the book are the Banach space theorems associated with the names of Dixmier, Krein, James, Smulian, Bishop-Phelps, Brondsted-Rockafellar, and Bessaga-Pelczynski. Prior to these (and others) we establish to two most important principles of geometric functional analysis: the extended Krein-Milman theorem and the Hahn Banach principle, the latter appearing in ten different but equivalent formula tions (some of which are optimality criteria for convex programs). In addition, a good deal of attention is paid to properties and characterizations of conjugate spaces, especially reflexive spaces.

Geometric Aspects of Functional Analysis

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Publisher : Springer
ISBN 13 : 3319094777
Total Pages : 459 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Geometric Aspects of Functional Analysis by : Bo'az Klartag

Download or read book Geometric Aspects of Functional Analysis written by Bo'az Klartag and published by Springer. This book was released on 2014-10-08 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis. Most of the papers deal with different aspects of Asymptotic Geometric Analysis, understood in a broad sense; many continue the study of geometric and volumetric properties of convex bodies and log-concave measures in high-dimensions and in particular the mean-norm, mean-width, metric entropy, spectral-gap, thin-shell and slicing parameters, with applications to Dvoretzky and Central-Limit-type results. The study of spectral properties of various systems, matrices, operators and potentials is another central theme in this volume. As expected, probabilistic tools play a significant role and probabilistic questions regarding Gaussian noise stability, the Gaussian Free Field and First Passage Percolation are also addressed. The historical connection to the field of Classical Convexity is also well represented with new properties and applications of mixed-volumes. The interplay between the real convex and complex pluri-subharmonic settings continues to manifest itself in several additional articles. All contributions are original research papers and were subject to the usual refereeing standards.

Geometric Aspects of Functional Analysis

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Publisher : Springer
ISBN 13 : 3540461892
Total Pages : 295 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Geometric Aspects of Functional Analysis by : Joram Lindenstrauss

Download or read book Geometric Aspects of Functional Analysis written by Joram Lindenstrauss and published by Springer. This book was released on 2006-11-14 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Aspects of Functional Analysis

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Publisher : Springer
ISBN 13 : 3540720537
Total Pages : 330 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Geometric Aspects of Functional Analysis by : Vitali D. Milman

Download or read book Geometric Aspects of Functional Analysis written by Vitali D. Milman and published by Springer. This book was released on 2007-04-27 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) during the years 2004-2005 reflects the general trends of the theory and are a source of inspiration for research. Most of the papers deal with different aspects of the Asymptotic Geometric Analysis, ranging from classical topics in the geometry of convex bodies to the study of sections or projections of convex bodies.

Applications of Functional Analysis in Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 146843926X
Total Pages : 309 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Applications of Functional Analysis in Engineering by : J. Nowinski

Download or read book Applications of Functional Analysis in Engineering written by J. Nowinski and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional analysis owes its OrIgms to the discovery of certain striking analogies between apparently distinct disciplines of mathematics such as analysis, algebra, and geometry. At the turn of the nineteenth century, a number of observations, made sporadically over the preceding years, began to inspire systematic investigations into the common features of these three disciplines, which have developed rather independently of each other for so long. It was found that many concepts of this triad-analysis, algebra, geometry-could be incorporated into a single, but considerably more abstract, new discipline which came to be called functional analysis. In this way, many aspects of analysis and algebra acquired unexpected and pro found geometric meaning, while geometric methods inspired new lines of approach in analysis and algebra. A first significant step toward the unification and generalization of algebra, analysis, and geometry was taken by Hilbert in 1906, who studied the collection, later called 1 , composed of infinite sequences x = Xb X 2, ... , 2 X , ... , of numbers satisfying the condition that the sum Ik"= 1 X 2 converges. k k The collection 12 became a prototype of the class of collections known today as Hilbert spaces.

Geometric Aspects of Functional Analysis

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Author :
Publisher : Springer Nature
ISBN 13 : 3030467627
Total Pages : 350 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Geometric Aspects of Functional Analysis by : Bo'az Klartag

Download or read book Geometric Aspects of Functional Analysis written by Bo'az Klartag and published by Springer Nature. This book was released on 2020-07-08 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest examples of regularity and order in high dimensions. Central to the text is the study of the Poincaré and log-Sobolev functional inequalities, their reverses, and other inequalities, in which a crucial role is often played by convexity assumptions such as Log-Concavity. The concept and properties of Entropy form an important subject, with Bourgain's slicing problem and its variants drawing much attention. Constructions related to Convexity Theory are proposed and revisited, as well as inequalities that go beyond the Brunn–Minkowski theory. One of the major current research directions addressed is the identification of lower-dimensional structures with remarkable properties in rather arbitrary high-dimensional objects. In addition to functional analytic results, connections to Computer Science and to Differential Geometry are also discussed.

Proceedings of the St. Petersburg Mathematical Society Volume III

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821895962
Total Pages : 284 pages
Book Rating : 4.8/5 (959 download)

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Book Synopsis Proceedings of the St. Petersburg Mathematical Society Volume III by : Ol_ga Aleksandrovna Ladyzhenskai_a

Download or read book Proceedings of the St. Petersburg Mathematical Society Volume III written by Ol_ga Aleksandrovna Ladyzhenskai_a and published by American Mathematical Soc.. This book was released on 1995-06-20 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Books in this series highlight some of the most interesting works presented at symposia sponsored by the St. Petersburg Mathematical Society. Aimed at researchers in number theory, field theory, and algebraic geometry, the present volume deals primarily with aspects of the theory of higher local fields and other types of complete discretely valuated fields. Most of the papers require background in local class field theory and algebraic $K$-theory; however, two of them, ``Unit Fractions'' and ``Collections of Multiple Sums'', would be accessible to undergraduates.

Geometric Aspects of Functional Analysis

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Publisher : Springer
ISBN 13 : 354045392X
Total Pages : 296 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Geometric Aspects of Functional Analysis by : V.D. Milman

Download or read book Geometric Aspects of Functional Analysis written by V.D. Milman and published by Springer. This book was released on 2007-05-09 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of original research papers from the Israeli GAFA seminar during the years 1996-2000 not only reports on more traditional directions of Geometric Functional Analysis, but also reflects on some of the recent new trends in Banach Space Theory and related topics. These include the tighter connection with convexity and the resulting added emphasis on convex bodies that are not necessarily centrally symmetric, and the treatment of bodies which have only very weak convex-like structure. Another topic represented here is the use of new probabilistic tools; in particular transportation of measure methods and new inequalities emerging from Poincaré-like inequalities.