Analytic Theory of the Harish-Chandra C-Function

Analytic Theory of the Harish-Chandra C-Function PDF Author: L. Cohn
Publisher: Springer
ISBN: 3540372989
Category : Mathematics
Languages : en
Pages : 158

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Analytic Theory of the Harish-Chandra C-Function

Analytic Theory of the Harish-Chandra C-Function PDF Author: L. Cohn
Publisher: Springer
ISBN: 3540372989
Category : Mathematics
Languages : en
Pages : 158

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Representation Theory and Harmonic Analysis on Symmetric Spaces

Representation Theory and Harmonic Analysis on Symmetric Spaces PDF Author: Jens Gerlach Christensen
Publisher: American Mathematical Soc.
ISBN: 1470440709
Category : Mathematics
Languages : en
Pages : 330

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Book Description
This volume contains the proceedings of the AMS Special Session on Harmonic Analysis, in honor of Gestur Ólafsson's 65th birthday, held on January 4, 2017, in Atlanta, Georgia. The articles in this volume provide fresh perspectives on many different directions within harmonic analysis, highlighting the connections between harmonic analysis and the areas of integral geometry, complex analysis, operator algebras, Lie algebras, special functions, and differential operators. The breadth of contributions highlights the diversity of current research in harmonic analysis and shows that it continues to be a vibrant and fruitful field of inquiry.

Harmonic Analysis of Spherical Functions on Real Reductive Groups

Harmonic Analysis of Spherical Functions on Real Reductive Groups PDF Author: Ramesh Gangolli
Publisher: Springer Science & Business Media
ISBN: 3642729568
Category : Mathematics
Languages : en
Pages : 379

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Book Description
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.

Analytic Number Theory

Analytic Number Theory PDF Author: Marvin I. Knopp
Publisher: Springer
ISBN: 3540389539
Category : Mathematics
Languages : en
Pages : 491

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Unitary Representations and Harmonic Analysis

Unitary Representations and Harmonic Analysis PDF Author: M. Sugiura
Publisher: Elsevier
ISBN: 0080887597
Category : Mathematics
Languages : en
Pages : 469

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Book Description
The principal aim of this book is to give an introduction to harmonic analysis and the theory of unitary representations of Lie groups. The second edition has been brought up to date with a number of textual changes in each of the five chapters, a new appendix on Fatou's theorem has been added in connection with the limits of discrete series, and the bibliography has been tripled in length.

Spaces of Analytic Functions

Spaces of Analytic Functions PDF Author: O.B. Bekken
Publisher: Springer
ISBN: 3540382011
Category : Mathematics
Languages : en
Pages : 216

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Non-Commutative Harmonic Analysis

Non-Commutative Harmonic Analysis PDF Author: J. Carmona
Publisher: Springer
ISBN: 3540375244
Category : Mathematics
Languages : en
Pages : 241

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Harmonic Analysis and Discrete Potential Theory

Harmonic Analysis and Discrete Potential Theory PDF Author: M.A. Picardello
Publisher: Springer Science & Business Media
ISBN: 1489923233
Category : Mathematics
Languages : en
Pages : 299

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Book Description
This book collects the Proceedings of a Congress held in Frascati (Rome) in the period July 1 -July 10, 1991, on the subject of harmonic analysis and discrete potential theory, and related topics. The Congress was made possible by the financial support of the Italian National Research Council ("Gruppo GNAFA"), the Ministry of University ("Gruppo Analisi Funzionale" of the University of Milano), the University of Rome "Tor Vergata", and was also patronized by the Centro "Vito Volterra" of the University of Rome "Tor Vergata". Financial support for publishing these Proceedings was provided by the University of Rome "Tor Vergata", and by a generous contribution of the Centro "Vito Volterra". I am happy of this opportunity to acknowledge the generous support of all these Institutions, and to express my gratitude, and that of all the participants. A number of distinguished mathematicians took part in the Congress. Here is the list of participants: M. Babillot, F. Choucroun, Th. Coulhon, L. Elie, F. Ledrappier, N. Th. Varopoulos (Paris); L. Gallardo (Brest); Ph. Bougerol, B. Roynette (Nancy); O. Gebuhrer (Strasbourg); G. Ahumada-Bustamante (Mulhouse); A. Valette (Neuchatel); P. Gerl (Salzburg); W. Hansen, H. Leptin (Bielefeld); M. Bozejko, A. Hulanicki, T. Pytlik (Wroclaw); C. Thomassen (Lyngby); P. Sjogren (Goteborg); V. Kaimanovich (Leningrad); A. Nevo (Jerusalem); T. Steger (Chicago); S. Sawyer, M. Taibleson, G. Weiss (St. Louis); J. Cohen, S.S ali ani (Maryland); D. Voiculescu (Berkeley); A. Zemanian (Stony Brook); S. Northshield (Plattsburgh); J. Taylor (Montreal); J

Representation Theory and Harmonic Analysis

Representation Theory and Harmonic Analysis PDF Author: Ray Alden Kunze
Publisher: American Mathematical Soc.
ISBN: 0821803107
Category : Mathematics
Languages : en
Pages : 270

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Book Description
This volume stems from a special session on representation theory and harmonic analysis held in honour of Ray Kunze at the 889th meeting of the American Mathematical Society on January 12-15 1994. It is intended for graduate students and research mathematicians interested in topological groups, lie groups and abstract harmonic analysis.

Probabilistic Methods in Differential Equations

Probabilistic Methods in Differential Equations PDF Author: M.A. Pinsky
Publisher: Springer
ISBN: 3540374817
Category : Mathematics
Languages : en
Pages : 173

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