Representations of solvable Lie groups : basic theory and examples /
Didier Arnal, Bradley Currey.
Bok Engelsk 2020 · Electronic books.
Medvirkende | Currey, Bradley, (author.)
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Omfang | 1 online resource (xiii, 448 pages) : : digital, PDF file(s).
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Opplysninger | Title from publisher's bibliographic system (viewed on 22 Apr 2020).. - 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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ISBN | 1-108-55228-5. - 1-108-65193-3. - 1-108-68218-9
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