Representation Theory And Noncommutative Harmonic Analysis I
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Representation Theory and Noncommutative Harmonic Analysis
![Representation Theory and Noncommutative Harmonic Analysis](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 1994 |
Genre | : Harmonic analysis |
ISBN | : OCLC:872361716 |
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Representation Theory and Noncommutative Harmonic Analysis I
Author | : A.A. Kirillov |
Publsiher | : Springer Science & Business Media |
Total Pages | : 241 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 9783662030028 |
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This two-part survey provides a short review of the classical part of representation theory, carefully exposing the structure of the theory without overwhelming readers with details, and deals with representations of Virasoro and Kac-Moody algebra. It presents a wealth of recent results on representations of infinite-dimensional groups.
Representation Theory and Noncommutative Harmonic Analysis II
Author | : A.A. Kirillov |
Publsiher | : Springer Science & Business Media |
Total Pages | : 274 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 9783662097564 |
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Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.
Representation Theory and Noncommutative Harmonic Analysis II
Author | : Alexandre Kirillov |
Publsiher | : Springer |
Total Pages | : 270 |
Release | : 2012-12-22 |
Genre | : Mathematics |
ISBN | : 3662097575 |
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Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.
Representation Theory and Noncommutative Harmonic Analysis I
Author | : Alexandre Kirillov |
Publsiher | : Springer |
Total Pages | : 236 |
Release | : 2014-03-12 |
Genre | : Mathematics |
ISBN | : 3662030039 |
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This two-part survey provides a short review of the classical part of representation theory, carefully exposing the structure of the theory without overwhelming readers with details, and deals with representations of Virasoro and Kac-Moody algebra. It presents a wealth of recent results on representations of infinite-dimensional groups.
Noncommutative Harmonic Analysis
Author | : Michael Eugene Taylor |
Publsiher | : American Mathematical Soc. |
Total Pages | : 346 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : 9780821815236 |
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Explores some basic roles of Lie groups in linear analysis, with particular emphasis on the generalizations of the Fourier transform and the study of partial differential equations.
Representation Theory and Noncommutative Harmonic Analysis II
![Representation Theory and Noncommutative Harmonic Analysis II](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Aleksandr Aleksandrovich Kirillov |
Publsiher | : Springer Verlag |
Total Pages | : 266 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : 0387547029 |
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Representation Theory and Harmonic Analysis on Semisimple Lie Groups
Author | : Paul J. Sally (Jr.),David A. Vogan |
Publsiher | : American Mathematical Soc. |
Total Pages | : 364 |
Release | : 1989 |
Genre | : Mathematics |
ISBN | : 9780821815267 |
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This book brings together five papers that have been influential in the study of Lie groups. Though published more than 20 years ago, these papers made fundamental contributions that deserve much broader exposure. In addition, the subsequent literature that has subsumed these papers cannot replace the originality and vitality they contain. The editors have provided a brief introduction to each paper, as well as a synopsis of the major developments which have occurred in the area covered by each paper. Included here are the doctoral theses of Arthur, Osborne, and Schmid. Arthur's thesis is closely related to Trombi's paper insofar as both deal with harmonic analysis on real semisimple Lie groups, and, in particular, analysis on the Schwartz space of Harish-Chandra. Arthur's thesis is concerned with the image under the Fourier transform of the Schwartz space of a semisimple Lie group of real rank one, while Trombi's paper provides an expository account of the harmonic analysis associated to the decomposition of the Schwartz space under the regular representation. In his thesis, Osborne extends the Atiyah-Bott fixed point theorem for elliptic complexes to obtain a fixed point formula for complexes that are not elliptic. Schmid proves a generalization of the Borel-Weil theorem concerning an explicit and geometric realization of the irreducible representations of a compact, connected semisimple Lie group. Langlands's fundamental paper provides a classification of irreducible, admissible representations of real reductive Lie groups.