Harmonic Analysis And Representation Theory For Groups Acting On Homogeneous Trees

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Harmonic Analysis And Representation Theory For Groups Acting On Homogeneous Trees

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Author : Alessandro Figà-Talamanca
language : en
Publisher: Cambridge University Press
Release Date : 1991

Harmonic Analysis And Representation Theory For Groups Acting On Homogeneous Trees written by Alessandro Figà-Talamanca 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 1991 with Mathematics categories.

These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree. The unitary irreducible representations are classified in three types: a continuous series of spherical representations; two special representations; and a countable series of cuspidal representations as defined by G.I. Ol'shiankii. Several notable subgroups of the full automorphism group are also considered. The theory of spherical functions as eigenvalues of a Laplace (or Hecke) operator on the tree is used to introduce spherical representations and their restrictions to discrete subgroups. This will be an excellent companion for all researchers into harmonic analysis or representation theory.

Harmonic Analysis And Representation Theory For Groups Acting On Homogenous Trees

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Author :
language : en
Publisher:
Release Date : 1991

Harmonic Analysis And Representation Theory For Groups Acting On Homogenous Trees written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Trees (Graph theory) categories.

These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree.

Harmonic Analysis And Representation Theory For Groups Acting On Homogenous Trees

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Author : Alessandro Figà-Talamanca
language : en
Publisher:
Release Date : 2014-05-14

Harmonic Analysis And Representation Theory For Groups Acting On Homogenous Trees written by Alessandro Figà-Talamanca and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.

These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree.

Harmonic Analysis And Representation Theory For Groups Acting On Homogenous Trees

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Author : Alessandro Figá-Talamanca
language : en
Publisher: Cambridge University Press
Release Date : 1991-06-28

Harmonic Analysis And Representation Theory For Groups Acting On Homogenous Trees written by Alessandro Figá-Talamanca 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 1991-06-28 with Mathematics categories.

These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree. The unitary irreducible representations are classified in three types: a continuous series of spherical representations; two special representations; and a countable series of cuspidal representations as defined by G.I. Ol'shiankii. Several notable subgroups of the full automorphism group are also considered. The theory of spherical functions as eigenvalues of a Laplace (or Hecke) operator on the tree is used to introduce spherical representations and their restrictions to discrete subgroups. This will be an excellent companion for all researchers into harmonic analysis or representation theory.

Harmonic Analysis And Representation Theory For Groups Acting On Homogeneous Trees

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Author :
language : en
Publisher:
Release Date : 1955

Harmonic Analysis And Representation Theory For Groups Acting On Homogeneous Trees written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with categories.

Harmonic Analysis And Discrete Potential Theory

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Author : M.A. Picardello
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Harmonic Analysis And Discrete Potential Theory written by M.A. Picardello 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 2013-11-11 with Mathematics categories.

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

Trends In Harmonic Analysis

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Author : Massimo A. Picardello
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-05

Trends In Harmonic Analysis written by Massimo A. Picardello 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 2012-12-05 with Mathematics categories.

This book illustrates the wide range of research subjects developed by the Italian research group in harmonic analysis, originally started by Alessandro Figà-Talamanca, to whom it is dedicated in the occasion of his retirement. In particular, it outlines some of the impressive ramifications of the mathematical developments that began when Figà-Talamanca brought the study of harmonic analysis to Italy; the research group that he nurtured has now expanded to cover many areas. Therefore the book is addressed not only to experts in harmonic analysis, summability of Fourier series and singular integrals, but also in potential theory, symmetric spaces, analysis and partial differential equations on Riemannian manifolds, analysis on graphs, trees, buildings and discrete groups, Lie groups and Lie algebras, and even in far-reaching applications as for instance cellular automata and signal processing (low-discrepancy sampling, Gaussian noise).

Representation Theory And Complex Analysis

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Author : Michael Cowling
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-27

Representation Theory And Complex Analysis written by Michael Cowling 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 2008-02-27 with Mathematics categories.

Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.

Ergodic Theory And Its Connection With Harmonic Analysis

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Author : Karl Endel Petersen
language : en
Publisher: Cambridge University Press
Release Date : 1995

Ergodic Theory And Its Connection With Harmonic Analysis written by Karl Endel Petersen 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 1995 with Mathematics categories.

Tutorial survey papers on important areas of ergodic theory, with related research papers.

Harmonic Functions On Trees And Buildings

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Author : Adam Korǹyi (et al.)
language : en
Publisher: American Mathematical Soc.
Release Date : 1997

Harmonic Functions On Trees And Buildings written by Adam Korǹyi (et al.) 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 1997 with Mathematics categories.

This volume presents the proceedings of the workshop "Harmonic Functions on Graphs" held at the Graduate Centre of CUNY in the autumn of 1995. The main papers present material from four minicourses given by leading experts: D. Cartwright, A. Figà-Talamanca, S. Sawyer, and T. Steger. These minicrouses are introductions which gradually progress to deeper and less known branches of the subject. One of the topics treated is buildings, which are discrete analogues of symmetric spaces of arbitrary rank; buildings of rank are trees. Harmonic analysis on buildings is a fairly new and important field of research. One of the minicourses discusses buildings from the combinatorial perspective and another examines them from the p-adic perspective. the third minicourse deals with the connections of trees with p-adic analysis, and the fourth deals with random walks, ie., with the probabilistic side of harmonic functions on trees. The book also contains the extended abstracts of 19 of the 20 lectures given by the participants on their recent results. These abstracts, well detailed and clearly understandable, give a good cross-section of the present state of research in the field.