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Author : N. Dinculeanu
Publisher : Springer Science & Business Media
ISBN 13 : 9789028604537
Total Pages : 654 pages
Book Rating : 4.6/5 (45 download)
Download or read book Integration on Locally Compact Spaces written by N. Dinculeanu and published by Springer Science & Business Media. This book was released on 1974-08 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Platonov
Publisher : Academic Press
ISBN 13 : 0080874592
Total Pages : 629 pages
Book Rating : 4.0/5 (88 download)
Download or read book Algebraic Groups and Number Theory written by Vladimir Platonov and published by Academic Press. This book was released on 1993-12-07 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory. The exposition of the topic is built on a synthesis of methods from algebraic geometry, number theory, analysis, and topology, and the result is a systematic overview ofalmost all of the major results of the arithmetic theory of algebraic groups obtained to date.
Author :
Publisher : Academic Press
ISBN 13 : 0080873596
Total Pages : 477 pages
Book Rating : 4.0/5 (88 download)
Download or read book Introduction to Compact Transformation Groups written by and published by Academic Press. This book was released on 1972-09-29 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Compact Transformation Groups
Author : V.P. Havin
Publisher : Springer Science & Business Media
ISBN 13 : 3642589464
Total Pages : 335 pages
Book Rating : 4.6/5 (425 download)
Download or read book Commutative Harmonic Analysis II written by V.P. Havin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical harmonic analysis is an important part of modern physics and mathematics, comparable in its significance with calculus. Created in the 18th and 19th centuries as a distinct mathematical discipline it continued to develop, conquering new unexpected areas and producing impressive applications to a multitude of problems. It is widely understood that the explanation of this miraculous power stems from group theoretic ideas underlying practically everything in harmonic analysis. This book is an unusual combination of the general and abstract group theoretic approach with a wealth of very concrete topics attractive to everybody interested in mathematics. Mathematical literature on harmonic analysis abounds in books of more or less abstract or concrete kind, but the lucky combination as in this volume can hardly be found.
Author : N. Bourbaki
Publisher : Springer Science & Business Media
ISBN 13 : 9783540205852
Total Pages : 344 pages
Book Rating : 4.2/5 (58 download)
Download or read book Integration II written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 2004-09-07 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integration is the sixth and last of the books that form the core of the Bourbaki series; it draws abundantly on the preceding five Books, especially General Topology and Topological Vector Spaces, making it a culmination of the core six. The power of the tool thus fashioned is strikingly displayed in Chapter II of the author's Théories Spectrales, an exposition, in a mere 38 pages, of abstract harmonic analysis and the structure of locally compact abelian groups. The first volume of the English translation comprises Chapters 1-6; the present volume completes the translation with the remaining Chapters 7-9. Chapters 1-5 received very substantial revisions in a second edition, including changes to some fundamental definitions. Chapters 6-8 are based on the first editions of Chapters 1-5. The English edition has given the author the opportunity to correct misprints, update references, clarify the concordance of Chapter 6 with the second editions of Chapters 1-5, and revise the definition of a key concept in Chapter 6 (measurable equivalence relations).
Author : David L. Armacost
Publisher :
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.:/5 (44 download)
Download or read book The Structure of Locally Compact Abelian Groups written by David L. Armacost and published by . This book was released on 1981 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Taqdir Husain
Publisher : Courier Dover Publications
ISBN 13 : 0486819191
Total Pages : 241 pages
Book Rating : 4.4/5 (868 download)
Download or read book Introduction to Topological Groups written by Taqdir Husain and published by Courier Dover Publications. This book was released on 2018-02-15 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise treatment covers semitopological groups, locally compact groups, Harr measure, and duality theory and some of its applications. The volume concludes with a chapter that introduces Banach algebras. 1966 edition.
Author : Vyacheslav L. Girko
Publisher : Academic Press
ISBN 13 : 0080873197
Total Pages : 473 pages
Book Rating : 4.0/5 (88 download)
Download or read book Spectral Theory of Random Matrices written by Vyacheslav L. Girko and published by Academic Press. This book was released on 2016-08-23 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Theory of Random Matrices
Author : C.E. Aull
Publisher : Springer Science & Business Media
ISBN 13 : 9401704708
Total Pages : 418 pages
Book Rating : 4.4/5 (17 download)
Download or read book Handbook of the History of General Topology written by C.E. Aull and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first one of a work in several volumes, treating the history of the development of topology. The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.
Author : Edward Andrew Timsans
Publisher :
ISBN 13 :
Total Pages : 158 pages
Book Rating : 4.:/5 (319 download)
Download or read book On Automorphic Functions Defined on Locally Compact Groups written by Edward Andrew Timsans and published by . This book was released on 1967 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Heyer
Publisher : Springer Science & Business Media
ISBN 13 : 3642667066
Total Pages : 542 pages
Book Rating : 4.6/5 (426 download)
Download or read book Probability Measures on Locally Compact Groups written by H. Heyer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability measures on algebraic-topological structures such as topological semi groups, groups, and vector spaces have become of increasing importance in recent years for probabilists interested in the structural aspects of the theory as well as for analysts aiming at applications within the scope of probability theory. In order to obtain a natural framework for a first systematic presentation of the most developed part of the work done in the field we restrict ourselves to prob ability measures on locally compact groups. At the same time we stress the non Abelian aspect. Thus the book is concerned with a set of problems which can be regarded either from the probabilistic or from the harmonic-analytic point of view. In fact, it seems to be the synthesis of these two viewpoints, the initial inspiration coming from probability and the refined techniques from harmonic analysis which made this newly established subject so fascinating. The goal of the presentation is to give a fairly complete treatment of the central limit problem for probability measures on a locally compact group. In analogy to the classical theory the discussion is centered around the infinitely divisible probability measures on the group and their relationship to the convergence of infinitesimal triangular systems.
Author : N. Bourbaki
Publisher : Springer Science & Business Media
ISBN 13 : 3642593127
Total Pages : 487 pages
Book Rating : 4.6/5 (425 download)
Download or read book Integration I written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the sixth and last of the books that form the core of the Bourbaki series, comprising chapters 1-6 in English translation. One striking feature is its exposition of abstract harmonic analysis and the structure of locally compact Abelian groups. This English edition corrects misprints, updates references, and revises the definition of the concept of measurable equivalence relations.
Author : Firdous A. Shah
Publisher : CRC Press
ISBN 13 : 100077161X
Total Pages : 502 pages
Book Rating : 4.0/5 (7 download)
Download or read book Wavelet Transforms written by Firdous A. Shah and published by CRC Press. This book was released on 2022-11-28 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelet Transforms: Kith and Kin serves as an introduction to contemporary aspects of time-frequency analysis encompassing the theories of Fourier transforms, wavelet transforms and their respective offshoots. This book is the first of its kind totally devoted to the treatment of continuous signals and it systematically encompasses the theory of Fourier transforms, wavelet transforms, geometrical wavelet transforms and their ramifications. The authors intend to motivate and stimulate interest among mathematicians, computer scientists, engineers and physical, chemical and biological scientists. The text is written from the ground up with target readers being senior undergraduate and first-year graduate students and it can serve as a reference for professionals in mathematics, engineering and applied sciences. Features Flexibility in the book’s organization enables instructors to select chapters appropriate to courses of different lengths, emphasis and levels of difficulty Self-contained, the text provides an impetus to the contemporary developments in the signal processing aspects of wavelet theory at the forefront of research A large number of worked-out examples are included Every major concept is presented with explanations, limitations and subsequent developments, with emphasis on applications in science and engineering A wide range of exercises are incoporated in varying levels from elementary to challenging so readers may develop both manipulative skills in theory wavelets and deeper insight Answers and hints for selected exercises appear at the end The origin of the theory of wavelet transforms dates back to the 1980s as an outcome of the intriguing efforts of mathematicians, physicists and engineers. Owing to the lucid mathematical framework and versatile applicability, the theory of wavelet transforms is now a nucleus of shared aspirations and ideas.
Author :
Publisher : Academic Press
ISBN 13 : 0080873634
Total Pages : 439 pages
Book Rating : 4.0/5 (88 download)
Download or read book Measure and Integration Theory on Infinite-Dimensional Spaces written by and published by Academic Press. This book was released on 1972-10-16 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measure and Integration Theory on Infinite-Dimensional Spaces
Author : Edwin Hewitt
Publisher : Springer
ISBN 13 : 3662404095
Total Pages : 527 pages
Book Rating : 4.6/5 (624 download)
Download or read book Abstract Harmonic Analysis written by Edwin Hewitt and published by Springer. This book was released on 2013-12-19 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: When we accepted the kind invitation of Prof. Dr. F.K. SCHMIDT to write a monograph on abstract harmonie analysis for the Grundlehren der Mathematischen Wissenschaften series, we intended to write aH that we could find out about the subject in a text of about 600 printed pages. We intended that our book should be accessible to beginners, and we hoped to make it useful to specialists as weH. These aims proved to be mutuaHy inconsistent. Hence the present volume comprises only half of the projected work. It gives all of the structure of topologie al groups needed for harmonie analysis as it is known to us; it treats integration on locaHy compact groups in detail; it contains an introduction to the theory of group representations. In the second volume we will treat harmonie analysis on compact groups and locally compact Abelian groups, in considerable detail. The book is based on courses given by E. HEWlTT at the University of Washington and the University of Uppsala, although naturally the material of these courses has been enormously expanded to meet the needs of a formal monograph. Like the other treatments of harmonie analysis that have appeared since 1940, the book is a lineal descendant of A. WEIL'S fundamental treatise (WEIL r 4J) 1. The debt of all workers in the field to WEIL'S work is weH known and enormous.
Author : Nicolas Monod
Publisher : Springer
ISBN 13 : 3540449620
Total Pages : 219 pages
Book Rating : 4.5/5 (44 download)
Download or read book Continuous Bounded Cohomology of Locally Compact Groups written by Nicolas Monod and published by Springer. This book was released on 2003-07-01 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent research has repeatedly led to connections between important rigidity questions and bounded cohomology. However, the latter has remained by and large intractable. This monograph introduces the functorial study of the continuous bounded cohomology for topological groups, with coefficients in Banach modules. The powerful techniques of this more general theory have successfully solved a number of the original problems in bounded cohomology. As applications, one obtains, in particular, rigidity results for actions on the circle, for representations on complex hyperbolic spaces and on Teichmüller spaces. A special effort has been made to provide detailed proofs or references in quite some generality.
Author : Volker Runde
Publisher : Springer Nature
ISBN 13 : 1071603515
Total Pages : 468 pages
Book Rating : 4.0/5 (716 download)
Download or read book Amenable Banach Algebras written by Volker Runde and published by Springer Nature. This book was released on 2020-03-03 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides readers with a detailed introduction to the amenability of Banach algebras and locally compact groups. By encompassing important foundational material, contemporary research, and recent advancements, this monograph offers a state-of-the-art reference. It will appeal to anyone interested in questions of amenability, including those familiar with the author’s previous volume Lectures on Amenability. Cornerstone topics are covered first: namely, the theory of amenability, its historical context, and key properties of amenable groups. This introduction leads to the amenability of Banach algebras, which is the main focus of the book. Dual Banach algebras are given an in-depth exploration, as are Banach spaces, Banach homological algebra, and more. By covering amenability’s many applications, the author offers a simultaneously expansive and detailed treatment. Additionally, there are numerous exercises and notes at the end of every chapter that further elaborate on the chapter’s contents. Because it covers both the basics and cutting edge research, Amenable Banach Algebras will be indispensable to both graduate students and researchers working in functional analysis, harmonic analysis, topological groups, and Banach algebras. Instructors seeking to design an advanced course around this subject will appreciate the student-friendly elements; a prerequisite of functional analysis, abstract harmonic analysis, and Banach algebra theory is assumed.
