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Author : cecil jack freeman
Publisher :
ISBN 13 :
Total Pages : 149 pages
Book Rating : 4.:/5 (123 download)
Download or read book Spectral synthesis on locally compact Abelian groups written by cecil jack freeman and published by . This book was released on 1973 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Henry Berge Helson
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (769 download)
Download or read book Fourier Transforms and Spectral Synthesis on Locally Compact Abelian Groups written by Henry Berge Helson and published by . This book was released on 1951 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : László Székelyhidi
Publisher : Springer Science & Business Media
ISBN 13 : 1402046375
Total Pages : 119 pages
Book Rating : 4.4/5 (2 download)
Download or read book Discrete Spectral Synthesis and Its Applications written by László Székelyhidi and published by Springer Science & Business Media. This book was released on 2007-01-25 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the situation over discrete Abelian groups with wide range applications. It covers classical functional equations, difference and differential equations, polynomial ideals, digital filtering and polynomial hypergroups, giving unified treatment of several different problems. There is no other comprehensive work in this field. The book will be of interest to graduate students, research workers in harmonic analysis, spectral analysis, functional equations and hypergroups.
Author : John J. Benedetto
Publisher : Springer-Verlag
ISBN 13 : 3322966615
Total Pages : 278 pages
Book Rating : 4.3/5 (229 download)
Download or read book Spectral Synthesis written by John J. Benedetto and published by Springer-Verlag. This book was released on 2013-11-22 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Laszlo Szekelyhidi
Publisher : World Scientific
ISBN 13 : 9814531731
Total Pages : 247 pages
Book Rating : 4.8/5 (145 download)
Download or read book Harmonic And Spectral Analysis written by Laszlo Szekelyhidi and published by World Scientific. This book was released on 2014-03-19 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Jean H Gallier
Publisher : World Scientific
ISBN 13 : 981129173X
Total Pages : 760 pages
Book Rating : 4.8/5 (112 download)
Download or read book Aspects Of Harmonic Analysis On Locally Compact Abelian Groups written by Jean H Gallier and published by World Scientific. This book was released on 2024-06-21 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fourier transform is a 'tool' used in engineering and computer vision to model periodic phenomena. Starting with the basics of measure theory and integration, this book delves into the harmonic analysis of locally compact abelian groups. It provides an in-depth tour of the beautiful theory of the Fourier transform based on the results of Gelfand, Pontrjagin, and Andre Weil in a manner accessible to an undergraduate student who has taken linear algebra and introductory real analysis.Highlights of this book include the Bochner integral, the Haar measure, Radon functionals, the theory of Fourier analysis on the circle, and the theory of the discrete Fourier transform. After studying this book, the reader will have the preparation necessary for understanding the Peter-Weyl theorems for complete, separable Hilbert algebras, a key theoretical concept used in the construction of Gelfand pairs and equivariant convolutional neural networks.
Author : Y. Weit
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (897 download)
Download or read book On Spectral Synthesis in a Non-commutative Locally Compact Group written by Y. Weit and published by . This book was released on 1981 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. B. Laursen
Publisher : Oxford University Press
ISBN 13 : 9780198523819
Total Pages : 610 pages
Book Rating : 4.5/5 (238 download)
Download or read book An Introduction to Local Spectral Theory written by K. B. Laursen and published by Oxford University Press. This book was released on 2000 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern local spectral theory is built on the classical spectral theorem, a fundamental result in single-operator theory and Hilbert spaces. This book provides an in-depth introduction to the natural expansion of this fascinating topic of Banach space operator theory. It gives complete coverage of the field, including the fundamental recent work by Albrecht and Eschmeier which provides the full duality theory for Banach space operators. One of its highlights are the many characterizations of decomposable operators, and of other related, important classes of operators, including identifications of distinguished parts, and results on permanence properties of spectra with respect to several types of similarity. Written in a careful and detailed style, it contains numerous examples, many simplified proofs of classical results, extensive references, and open problems, suitable for continued research.
Author : Edwin Hewitt
Publisher : Springer
ISBN 13 : 3642620086
Total Pages : 778 pages
Book Rating : 4.6/5 (426 download)
Download or read book Abstract Harmonic Analysis written by Edwin Hewitt and published by Springer. This book was released on 2013-12-21 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a continuation of vol. I (Grundlehren vol. 115, also available in softcover), and contains a detailed treatment of some important parts of harmonic analysis on compact and locally compact abelian groups. From the reviews: "This work aims at giving a monographic presentation of abstract harmonic analysis, far more complete and comprehensive than any book already existing on the subject...in connection with every problem treated the book offers a many-sided outlook and leads up to most modern developments. Carefull attention is also given to the history of the subject, and there is an extensive bibliography...the reviewer believes that for many years to come this will remain the classical presentation of abstract harmonic analysis." Publicationes Mathematicae
Author : L szl¢ Szkelyhidi
Publisher : World Scientific
ISBN 13 : 9789810206581
Total Pages : 180 pages
Book Rating : 4.2/5 (65 download)
Download or read book Convolution Type Functional Equations on Topological Abelian Groups written by L szl¢ Szkelyhidi and published by World Scientific. This book was released on 1991 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the possible applications of spectral analysis and spectral synthesis for convolution type functional equations on topological abelian groups. The solution space of convolution type equations has been synthesized in the sense that the general solutions are built up from exponential monomial solutions. In particular, equivalence of systems of functional equations can be tested. This leads to a unified treatment of classical equations and to interesting new results.
Author : Jean Ludwig
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (186 download)
Download or read book On the Connection Between Sets of Operator Synthesis and Sets of Spectral Synthesis for Locally Compact Groups written by Jean Ludwig and published by . This book was released on 2004 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Panos M. Pardalos
Publisher : Springer Science & Business Media
ISBN 13 : 146143498X
Total Pages : 898 pages
Book Rating : 4.4/5 (614 download)
Download or read book Nonlinear Analysis written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2012-06-02 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume will consist of about 40 articles written by some very influential mathematicians of our time and will expose the latest achievements in the broad area of nonlinear analysis and its various interdisciplinary applications.
Author : Alan Stuart Pollack
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (3 download)
Download or read book Spectral Sysnthesis on Locally Compact Abelian Groups written by Alan Stuart Pollack and published by . This book was released on 1969 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Laszlo Szekelyhidi
Publisher : World Scientific
ISBN 13 : 9814506206
Total Pages : 180 pages
Book Rating : 4.8/5 (145 download)
Download or read book Convolution Type Functional Equations On Topological Abelian Groups written by Laszlo Szekelyhidi and published by World Scientific. This book was released on 1991-04-22 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the possible applications of spectral analysis and spectral synthesis for convolution type functional equations on topological abelian groups. The solution space of convolution type equations has been synthesized in the sense that the general solutions are built up from exponential monomial solutions. In particular, equivalence of systems of functional equations can be tested. This leads to a unified treatment of classical equations and to interesting new results.
Author : Michael Ruzhansky
Publisher : John Wiley & Sons
ISBN 13 : 1119414342
Total Pages : 764 pages
Book Rating : 4.1/5 (194 download)
Download or read book Mathematical Analysis and Applications written by Michael Ruzhansky and published by John Wiley & Sons. This book was released on 2018-05-11 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authoritative text that presents the current problems, theories, and applications of mathematical analysis research Mathematical Analysis and Applications: Selected Topics offers the theories, methods, and applications of a variety of targeted topics including: operator theory, approximation theory, fixed point theory, stability theory, minimization problems, many-body wave scattering problems, Basel problem, Corona problem, inequalities, generalized normed spaces, variations of functions and sequences, analytic generalizations of the Catalan, Fuss, and Fuss–Catalan Numbers, asymptotically developable functions, convex functions, Gaussian processes, image analysis, and spectral analysis and spectral synthesis. The authors—a noted team of international researchers in the field— highlight the basic developments for each topic presented and explore the most recent advances made in their area of study. The text is presented in such a way that enables the reader to follow subsequent studies in a burgeoning field of research. This important text: Presents a wide-range of important topics having current research importance and interdisciplinary applications such as game theory, image processing, creation of materials with a desired refraction coefficient, etc. Contains chapters written by a group of esteemed researchers in mathematical analysis Includes problems and research questions in order to enhance understanding of the information provided Offers references that help readers advance to further study Written for researchers, graduate students, educators, and practitioners with an interest in mathematical analysis, Mathematical Analysis and Applications: Selected Topics includes the most recent research from a range of mathematical fields.
Author : Gerald B. Folland
Publisher : CRC Press
ISBN 13 : 1498727158
Total Pages : 317 pages
Book Rating : 4.4/5 (987 download)
Download or read book A Course in Abstract Harmonic Analysis written by Gerald B. Folland and published by CRC Press. This book was released on 2016-02-03 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the nature of the group. As a generalization of classical Fourier analysis, this abstract theory creates a foundation for a great deal of modern analysis, and it contains a number of elegant resul
Author : Eberhard Kaniuth
Publisher : American Mathematical Soc.
ISBN 13 : 0821853651
Total Pages : 321 pages
Book Rating : 4.8/5 (218 download)
Download or read book Fourier and Fourier-Stieltjes Algebras on Locally Compact Groups written by Eberhard Kaniuth and published by American Mathematical Soc.. This book was released on 2018-07-05 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of the Fourier algebra lies at the crossroads of several areas of analysis. Its roots are in locally compact groups and group representations, but it requires a considerable amount of functional analysis, mainly Banach algebras. In recent years it has made a major connection to the subject of operator spaces, to the enrichment of both. In this book two leading experts provide a road map to roughly 50 years of research detailing the role that the Fourier and Fourier-Stieltjes algebras have played in not only helping to better understand the nature of locally compact groups, but also in building bridges between abstract harmonic analysis, Banach algebras, and operator algebras. All of the important topics have been included, which makes this book a comprehensive survey of the field as it currently exists. Since the book is, in part, aimed at graduate students, the authors offer complete and readable proofs of all results. The book will be well received by the community in abstract harmonic analysis and will be particularly useful for doctoral and postdoctoral mathematicians conducting research in this important and vibrant area.
