Locally Convex Spaces And Harmonic Analysis
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Locally Convex Spaces And Harmonic Analysis
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Author : Philippe G. Ciarlet
language : en
Publisher: SIAM
Release Date : 2021-08-10
Locally Convex Spaces And Harmonic Analysis written by Philippe G. Ciarlet and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-10 with Mathematics categories.
This self-contained textbook covers the fundamentals of two basic topics of linear functional analysis: locally convex spaces and harmonic analysis. Readers will find detailed introductions to topological vector spaces, distribution theory, weak topologies, the Fourier transform, the Hilbert transform, and Calderón–Zygmund singular integrals. An ideal introduction to more advanced texts, the book complements Ciarlet’s Linear and Nonlinear Functional Analysis with Applications (SIAM), in which these two topics were not treated. Pedagogical features such as detailed proofs and 93 problems make the book ideal for a one-semester first-year graduate course or for self-study. The book is intended for advanced undergraduates and first-year graduate students and researchers. It is appropriate for courses on functional analysis, distribution theory, Fourier transform, and harmonic analysis.
Locally Convex Spaces And Harmonic Analysis
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Author : Philippe G. Ciarlet
language : en
Publisher:
Release Date : 2021
Locally Convex Spaces And Harmonic Analysis written by Philippe G. Ciarlet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
Harmonic And Spectral Analysis
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Author : Laszlo Szekelyhidi
language : en
Publisher: World Scientific
Release Date : 2014-03-19
Harmonic And Spectral Analysis written by Laszlo Szekelyhidi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-19 with Mathematics categories.
This book provides a modern introduction to harmonic analysis and synthesis on topological groups. It serves as a guide to the abstract theory of Fourier transformation. For the first time, it presents a detailed account of the theory of classical harmonic analysis together with the recent developments in spectral analysis and synthesis.
Harmonic Analysis On Semigroups
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Author : C. van den Berg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Harmonic Analysis On Semigroups written by C. van den Berg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The Fourier transform and the Laplace transform of a positive measure share, together with its moment sequence, a positive definiteness property which under certain regularity assumptions is characteristic for such expressions. This is formulated in exact terms in the famous theorems of Bochner, Bernstein-Widder and Hamburger. All three theorems can be viewed as special cases of a general theorem about functions qJ on abelian semigroups with involution (S, +, *) which are positive definite in the sense that the matrix (qJ(sJ + Sk» is positive definite for all finite choices of elements St, . . . , Sn from S. The three basic results mentioned above correspond to (~, +, x* = -x), ([0, 00[, +, x* = x) and (No, +, n* = n). The purpose of this book is to provide a treatment of these positive definite functions on abelian semigroups with involution. In doing so we also discuss related topics such as negative definite functions, completely mono tone functions and Hoeffding-type inequalities. We view these subjects as important ingredients of harmonic analysis on semigroups. It has been our aim, simultaneously, to write a book which can serve as a textbook for an advanced graduate course, because we feel that the notion of positive definiteness is an important and basic notion which occurs in mathematics as often as the notion of a Hilbert space.
Applied Numerical Linear Algebra
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Author : James W. Demmel
language : en
Publisher: SIAM
Release Date : 1997-08-01
Applied Numerical Linear Algebra written by James W. Demmel and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-01 with Mathematics categories.
This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.
Stereotype Spaces And Algebras
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Author : Sergei S. Akbarov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-08-22
Stereotype Spaces And Algebras written by Sergei S. Akbarov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-22 with Mathematics categories.
The term “stereotype space” was introduced in 1995 and denotes a category of locally convex spaces with surprisingly elegant properties. Its study gives an unexpected point of view on functional analysis that brings this fi eld closer to other main branches of mathematics, namely, to algebra and geometry. This volume contains the foundations of the theory of stereotype spaces, with accurate definitions, formulations, proofs, and numerous examples illustrating the interaction of this discipline with the category theory, the theory of Hopf algebras, and the four big geometric disciplines: topology, differential geometry, complex geometry, and algebraic geometry.
Probability In Banach Spaces
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Author : Michel Ledoux
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Probability In Banach Spaces written by Michel Ledoux and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed.
Locally Convex Spaces Over Non Archimedean Valued Fields
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Author : C. Perez-Garcia
language : en
Publisher: Cambridge University Press
Release Date : 2010-01-07
Locally Convex Spaces Over Non Archimedean Valued Fields written by C. Perez-Garcia and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-07 with Mathematics categories.
Non-Archimedean functional analysis, where alternative but equally valid number systems such as p-adic numbers are fundamental, is a fast-growing discipline widely used not just within pure mathematics, but also applied in other sciences, including physics, biology and chemistry. This book is the first to provide a comprehensive treatment of non-Archimedean locally convex spaces. The authors provide a clear exposition of the basic theory, together with complete proofs and new results from the latest research. A guide to the many illustrative examples provided, end-of-chapter notes and glossary of terms all make this book easily accessible to beginners at the graduate level, as well as specialists from a variety of disciplines.
A Comprehensive Course In Analysis
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Author : Barry Simon
language : en
Publisher:
Release Date : 2015
A Comprehensive Course In Analysis written by Barry Simon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Mathematical analysis categories.
A Comprehensive Course in Analysis by Poincar Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis
Nigel J Kalton Selecta
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Author : Fritz Gesztesy
language : en
Publisher: Birkhäuser
Release Date : 2016-07-05
Nigel J Kalton Selecta written by Fritz Gesztesy and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-05 with Mathematics categories.
This book is the first part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory, and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it. Nigel Kalton (1946-2010) was an extraordinary mathematician who made major contributions to an amazingly diverse range of fields over the course of his career.