Isomorphisms Between H1 Spaces
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Isomorphisms Between H1 Spaces
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Author : Paul F.X. Müller
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
Isomorphisms Between H1 Spaces written by Paul F.X. Müller 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 2006-03-30 with Mathematics categories.
This book gives a thorough and self contained presentation of H1, its known isomorphic invariants and a complete classification of H1 on spaces of homogeneous type. The necessary background is developed from scratch. This includes a detailed discussion of the Haar system, together with the operators that can be built from it. Complete proofs are given for the classical martingale inequalities, and for large deviation inequalities. Complex interpolation is treated. Througout, special attention is given to the combinatorial methods developed in the field. An entire chapter is devoted to study the combinatorics of coloured dyadic Intervals.
Hilbert Space Methods In Signal Processing
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Author : Rodney A. Kennedy
language : en
Publisher: Cambridge University Press
Release Date : 2013-03-07
Hilbert Space Methods In Signal Processing written by Rodney A. Kennedy 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 2013-03-07 with Technology & Engineering categories.
This lively and accessible book describes the theory and applications of Hilbert spaces and also presents the history of the subject to reveal the ideas behind theorems and the human struggle that led to them. The authors begin by establishing the concept of 'countably infinite', which is central to the proper understanding of separable Hilbert spaces. Fundamental ideas such as convergence, completeness and dense sets are first demonstrated through simple familiar examples and then formalised. Having addressed fundamental topics in Hilbert spaces, the authors then go on to cover the theory of bounded, compact and integral operators at an advanced but accessible level. Finally, the theory is put into action, considering signal processing on the unit sphere, as well as reproducing kernel Hilbert spaces. The text is interspersed with historical comments about central figures in the development of the theory, which helps bring the subject to life.
Handbook Of The Geometry Of Banach Spaces
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Author :
language : en
Publisher: Elsevier
Release Date : 2003-05-06
Handbook Of The Geometry Of Banach Spaces written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-06 with Mathematics categories.
Handbook of the Geometry of Banach Spaces
The Theory Of H B Spaces
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Author : Emmanuel Fricain
language : en
Publisher: Cambridge University Press
Release Date : 2016-10-20
The Theory Of H B Spaces written by Emmanuel Fricain 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 2016-10-20 with Mathematics categories.
In two volumes, this comprehensive treatment covers all that is needed to understand and appreciate this beautiful branch of mathematics.
Fundamentals Of Functional Analysis
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Author : Ammar Khanfer
language : en
Publisher: Springer Nature
Release Date : 2023-12-24
Fundamentals Of Functional Analysis written by Ammar Khanfer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-24 with Mathematics categories.
This textbook offers a comprehensive exploration of functional analysis, covering a wide range of topics. With over 150 solved examples and more than 320 problems, the book is designed to be both motivational and user-friendly for students for senior undergraduate and graduate courses in mathematics, providing clear and thorough explanations of all concepts. The second volume in a three-part series, this book delves into normed spaces, linear functionals, locally convex spaces, Banach spaces, Hilbert spaces, topology of Banach spaces, operators on Banach spaces and geometry of Banach spaces. The text is written in a clear and engaging style, making it ideal for independent study. It offers a valuable source for students seeking a deeper understanding of functional analysis, and provides a solid understanding of the topic.
Selfadjoint Operators In Spaces Of Functions Of Infinitely Many Variables
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Author : I_Uri_ Makarovich Berezanski_
language : en
Publisher: American Mathematical Soc.
Release Date : 1986-12-31
Selfadjoint Operators In Spaces Of Functions Of Infinitely Many Variables written by I_Uri_ Makarovich Berezanski_ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-12-31 with Mathematics categories.
Questions in the spectral theory of selfadjoint and normal operators acting in spaces of functions of infinitely many variables are studied in this book, and, in particular, the theory of expansions in generalized eigenfunctions of such operators. Both individual operators and arbitrary commuting families of them are considered. A theory of generalized functions of infinitely many variables is constructed. The circle of questions presented has evolved in recent years, especially in connection with problems in quantum field theory. This book will be useful to mathematicians and physicists interested in the indicated questions, as well as to graduate students and students in advanced university courses.
History Of Banach Spaces And Linear Operators
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Author : Albrecht Pietsch
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-31
History Of Banach Spaces And Linear Operators written by Albrecht Pietsch 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 2007-12-31 with Mathematics categories.
Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.
Quantum Mechanics In Hilbert Space
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Author :
language : en
Publisher: Academic Press
Release Date : 2003-02-13
Quantum Mechanics In Hilbert Space written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-13 with Mathematics categories.
Quantum Mechanics in Hilbert Space
Studia Universitatis Babe Bolyai
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Author : Universitatea "Babeș-Bolyai".
language : en
Publisher:
Release Date : 2007
Studia Universitatis Babe Bolyai written by Universitatea "Babeș-Bolyai". and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Electronic journals categories.
Hardy Martingales
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Author : Paul F. X. Müller
language : en
Publisher: Cambridge University Press
Release Date : 2022-07-14
Hardy Martingales written by Paul F. X. Müller 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 2022-07-14 with Mathematics categories.
This book presents the probabilistic methods around Hardy martingales for applications to complex, harmonic, and functional analysis.
