Harmonic Analysis On Free Groups

Author : Figa-Talamanca
Publisher : CRC Press
ISBN 13 : 9780824770426
Total Pages : 164 pages
Book Rating : 4.20/5 ( download)

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Download or read book Harmonic Analysis on Free Groups written by Figa-Talamanca and published by CRC Press. This book was released on 1983-08-17 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an account of recent results on the theory of representations and the harmonic analysis of free groups. It emphasizes the analogy with the theory of representations of noncompact semisimple Lie groups and restricts the focus to a class of irreducible unitary representations.

Author : Ramesh Gangolli
Publisher : Springer Science & Business Media
ISBN 13 : 3642729568
Total Pages : 379 pages
Book Rating : 4.60/5 ( download)

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Download or read book Harmonic Analysis of Spherical Functions on Real Reductive Groups written by Ramesh Gangolli and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis on Symmetric spaces, or more generally, on homogeneous spaces of semisimple Lie groups, is a subject that has undergone a vigorous development in recent years, and has become a central part of contemporary mathematics. This is only to be expected, since homogeneous spaces and group representations arise naturally in diverse contexts ranging from Number theory and Geometry to Particle Physics and Polymer Chemistry. Its explosive growth sometimes makes it difficult to realize that it is actually relatively young as mathematical theories go. The early ideas in the subject (as is the case with many others) go back to Elie Cart an and Hermann Weyl who studied the compact symmetric spaces in the 1930's. However its full development did not begin until the 1950's when Gel'fand and Harish Chandra dared to dream of a theory of representations that included all semisimple Lie groups. Harish-Chandra's theory of spherical functions was essentially complete in the late 1950's, and was to prove to be the forerunner of his monumental work on harmonic analysis on reductive groups that has inspired a whole generation of mathematicians. It is the harmonic analysis of spherical functions on symmetric spaces, that is at the focus of this book. The fundamental questions of harmonic analysis on symmetric spaces involve an interplay of the geometric, analytical, and algebraic aspects of these spaces. They have therefore attracted a great deal of attention, and there have been many excellent expositions of the themes that are characteristic of this subject.

Author : Sundaram Thangavelu
Publisher : Springer Science & Business Media
ISBN 13 : 1461217725
Total Pages : 204 pages
Book Rating : 4.25/5 ( download)

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Download or read book Harmonic Analysis on the Heisenberg Group written by Sundaram Thangavelu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Heisenberg group plays an important role in several branches of mathematics, such as representation theory, partial differential equations, number theory, several complex variables and quantum mechanics. This monograph deals with various aspects of harmonic analysis on the Heisenberg group, which is the most commutative among the non-commutative Lie groups, and hence gives the greatest opportunity for generalizing the remarkable results of Euclidean harmonic analysis. The aim of this text is to demonstrate how the standard results of abelian harmonic analysis take shape in the non-abelian setup of the Heisenberg group. Thangavelu’s exposition is clear and well developed, and leads to several problems worthy of further consideration. Any reader who is interested in pursuing research on the Heisenberg group will find this unique and self-contained text invaluable.

Author : Alessandro Figa-Talamanca
Publisher : CRC Press
ISBN 13 : 1000116743
Total Pages : 160 pages
Book Rating : 4.48/5 ( download)

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Download or read book Harmonic Analysis on Free Groups written by Alessandro Figa-Talamanca and published by CRC Press. This book was released on 2020-11-25 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an account of recent results on the theory of representations and the harmonic analysis of free groups. It emphasizes the analogy with the theory of representations of noncompact semisimple Lie groups and restricts the focus to a class of irreducible unitary representations.

Author : Figa-Talamanca
Publisher : CRC Press
ISBN 13 : 9781138401815
Total Pages : pages
Book Rating : 4.11/5 ( download)

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Download or read book Harmonic Analysis on Free Groups written by Figa-Talamanca and published by CRC Press. This book was released on 2017-06-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Garth Warner
Publisher :
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.51/5 ( download)

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Download or read book Harmonic Analysis on Semi-simple Lie Groups written by Garth Warner and published by . This book was released on 1972 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Bao Luong
Publisher : Springer Science & Business Media
ISBN 13 : 0817649166
Total Pages : 167 pages
Book Rating : 4.66/5 ( download)

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Download or read book Fourier Analysis on Finite Abelian Groups written by Bao Luong and published by Springer Science & Business Media. This book was released on 2009-08-14 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unified, self-contained book examines the mathematical tools used for decomposing and analyzing functions, specifically, the application of the [discrete] Fourier transform to finite Abelian groups. With countless examples and unique exercise sets at the end of each section, Fourier Analysis on Finite Abelian Groups is a perfect companion to a first course in Fourier analysis. This text introduces mathematics students to subjects that are within their reach, but it also has powerful applications that may appeal to advanced researchers and mathematicians. The only prerequisites necessary are group theory, linear algebra, and complex analysis.

Author : V. S. Varadarajan
Publisher : Cambridge University Press
ISBN 13 : 9780521663625
Total Pages : 326 pages
Book Rating : 4.28/5 ( download)

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Download or read book An Introduction to Harmonic Analysis on Semisimple Lie Groups written by V. S. Varadarajan and published by Cambridge University Press. This book was released on 1999-07-22 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in paperback, this graduate-level textbook is an introduction to the representation theory of semi-simple Lie groups. As such, it will be suitable for research students in algebra and analysis, and for research mathematicians requiring a readable account of the topic. The author emphasizes the development of the central themes of the sunject in the context of special examples, without losing sight of its general flow and structure. The book concludes with appendices sketching some basic topics with a comprehensive guide to further reading.

Author : Steven G. Krantz
Publisher : Springer Science & Business Media
ISBN 13 : 0817646698
Total Pages : 367 pages
Book Rating : 4.91/5 ( download)

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Download or read book Explorations in Harmonic Analysis written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2009-05-24 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis.

Author : Anton Deitmar
Publisher : Springer
ISBN 13 : 3319057928
Total Pages : 330 pages
Book Rating : 4.27/5 ( download)

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Download or read book Principles of Harmonic Analysis written by Anton Deitmar and published by Springer. This book was released on 2014-06-21 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.