Analysis On Lie Groups With Polynomial Growth
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Analysis On Lie Groups With Polynomial Growth
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Author : Nick Dungey
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Analysis On Lie Groups With Polynomial Growth written by Nick Dungey 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 2012-12-06 with Mathematics categories.
Analysis on Lie Groups with Polynomial Growth is the first book to present a method for examining the surprising connection between invariant differential operators and almost periodic operators on a suitable nilpotent Lie group. It deals with the theory of second-order, right invariant, elliptic operators on a large class of manifolds: Lie groups with polynomial growth. In systematically developing the analytic and algebraic background on Lie groups with polynomial growth, it is possible to describe the large time behavior for the semigroup generated by a complex second-order operator with the aid of homogenization theory and to present an asymptotic expansion. Further, the text goes beyond the classical homogenization theory by converting an analytical problem into an algebraic one. This work is aimed at graduate students as well as researchers in the above areas. Prerequisites include knowledge of basic results from semigroup theory and Lie group theory.
Analysis On Lie Groups With Polynomial Growth
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Author : Nick Dungey
language : en
Publisher:
Release Date : 2003-09-12
Analysis On Lie Groups With Polynomial Growth written by Nick Dungey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-12 with categories.
Sub Laplacians With Drift On Lie Groups Of Polynomial Volume Growth
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Author : Georgios K. Alexopoulos
language : en
Publisher:
Release Date : 2014-09-11
Sub Laplacians With Drift On Lie Groups Of Polynomial Volume Growth written by Georgios K. Alexopoulos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Electronic books categories.
This work is intended for graduate students and research mathematicians interested in topological groups, Lie groups, and harmonic analysis.
Harmonic Analysis And Number Theory
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Author : Carl Herz
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Harmonic Analysis And Number Theory written by Carl Herz 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 a conference on Harmonic Analysis and Number Theory held at McGill University (Montreal) in April 1996. The papers are dedicated to the memory of Carl Herz, who had deep interests in both harmonic analysis and number theory. These two disciplines have a symbiotic relationship that is reflected in the papers in this book.
Nilpotent Lie Groups
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Author : Roe W. Goodman
language : en
Publisher: Springer
Release Date : 2006-11-15
Nilpotent Lie Groups written by Roe W. Goodman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Analysis And Geometry On Groups
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Author : N. Varopoulos
language : en
Publisher: Cambridge University Press
Release Date : 1992
Analysis And Geometry On Groups written by N. Varopoulos 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 1992 with Mathematics categories.
The geometry and analysis that is discussed in this book extends to classical results for general discrete or Lie groups, and the methods used are analytical, but are not concerned with what is described these days as real analysis. Most of the results described in this book have a dual formulation: they have a "discrete version" related to a finitely generated discrete group and a continuous version related to a Lie group. The authors chose to center this book around Lie groups, but could easily have pushed it in several other directions as it interacts with the theory of second order partial differential operators, and probability theory, as well as with group theory.
Noncompact Lie Groups And Some Of Their Applications
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Author : Elizabeth A. Tanner
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Noncompact Lie Groups And Some Of Their Applications written by Elizabeth A. Tanner 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 2012-12-06 with Mathematics categories.
During the past two decades representations of noncompact Lie groups and Lie algebras have been studied extensively, and their application to other branches of mathematics and to physical sciences has increased enormously. Several theorems which were proved in the abstract now carry definite mathematical and physical sig nificance. Several physical observations which were not understood before are now explained in terms of models based on new group-theoretical structures such as dy namical groups and Lie supergroups. The workshop was designed to bring together those mathematicians and mathematical physicists who are actively working in this broad spectrum of research and to provide them with the opportunity to present their recent results and to discuss the challenges facing them in the many problems that remain. The objective of the workshop was indeed well achieved. This book contains 31 lectures presented by invited participants attending the NATO Advanced Research Workshop held in San Antonio, Texas, during the week of January 3-8, 1993. The introductory article by the editors provides a brief review of the concepts underlying these lectures (cited by author [*]) and mentions some of their applications. The articles in the book are grouped under the following general headings: Lie groups and Lie algebras, Lie superalgebras and Lie supergroups, and Quantum groups, and are arranged in the order in which they are cited in the introductory article. We are very thankful to Dr.
Coxeter Matroids
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Author : Alexandre V. Borovik
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Coxeter Matroids written by Alexandre V. Borovik 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 2012-12-06 with Mathematics categories.
Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry, and "Coxeter Matroids" provides an intuitive and interdisciplinary treatment of their theory. In this text, matroids are examined in terms of symmetric and finite reflection groups; also, symplectic matroids and the more general coxeter matroids are carefully developed. The Gelfand-Serganova theorem, which allows for the geometric interpretation of matroids as convex polytopes with certain symmetry properties, is presented, and in the final chapter, matroid representations and combinatorial flag varieties are discussed. With its excellent bibliography and index and ample references to current research, this work will be useful for graduate students and research mathematicians.
Infinite Groups Geometric Combinatorial And Dynamical Aspects
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Author : Laurent Bartholdi
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-09
Infinite Groups Geometric Combinatorial And Dynamical Aspects written by Laurent Bartholdi 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 2005-12-09 with Mathematics categories.
This book offers a panorama of recent advances in the theory of infinite groups. It contains survey papers contributed by leading specialists in group theory and other areas of mathematics. Topics include amenable groups, Kaehler groups, automorphism groups of rooted trees, rigidity, C*-algebras, random walks on groups, pro-p groups, Burnside groups, parafree groups, and Fuchsian groups. The accent is put on strong connections between group theory and other areas of mathematics.
Noncommutative Analysis Operator Theory And Applications
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Author : Daniel Alpay
language : en
Publisher: Birkhäuser
Release Date : 2016-06-30
Noncommutative Analysis Operator Theory And Applications written by Daniel Alpay and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-30 with Mathematics categories.
This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics. It is addressed to specialists but also to graduate students in several fields including global analysis, Schur analysis, complex analysis, C*-algebras, noncommutative geometry, operator algebras, operator theory and their applications. Contributors: F. Arici, S. Bernstein, V. Bolotnikov, J. Bourgain, P. Cerejeiras, F. Cipriani, F. Colombo, F. D'Andrea, G. Dell'Antonio, M. Elin, U. Franz, D. Guido, T. Isola, A. Kula, L.E. Labuschagne, G. Landi, W.A. Majewski, I. Sabadini, J.-L. Sauvageot, D. Shoikhet, A. Skalski, H. de Snoo, D. C. Struppa, N. Vieira, D.V. Voiculescu, and H. Woracek.