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200724 ||| eng |
020 |
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|a 9781108552288
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050 |
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4 |
|a QA387
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100 |
1 |
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|a Arnal, Didier
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245 |
0 |
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|a Representations of solvable Lie groups
|b basic theory and examples
|c Didier Arnal, Bradley Currey
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260 |
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|a Cambridge
|b Cambridge University Press
|c 2020
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300 |
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|a xiii, 448 pages
|b digital
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653 |
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|a Representations of Lie groups
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653 |
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|a Solvable groups
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700 |
1 |
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|a Currey, Bradley
|e [author]
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041 |
0 |
7 |
|a eng
|2 ISO 639-2
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989 |
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|b CBO
|a Cambridge Books Online
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490 |
0 |
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|a New mathematical monographs
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028 |
5 |
0 |
|a 10.1017/9781108552288
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856 |
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|u https://doi.org/10.1017/9781108552288
|x Verlag
|3 Volltext
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082 |
0 |
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|a 512.482
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520 |
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|a The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction of classical harmonic analysis, and as a tool for understanding various physical phenomena. Combining basic theory and new results, this monograph is a fresh and self-contained exposition of group representations and harmonic analysis on solvable Lie groups. Covering a range of topics from stratification methods for linear solvable actions in a finite-dimensional vector space, to complete proofs of essential elements of Mackey theory and a unified development of the main features of the orbit method for solvable Lie groups, the authors provide both well-known and new examples, with a focus on those relevant to contemporary applications. Clear explanations of the basic theory make this an invaluable reference guide for graduate students as well as researchers
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