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Representations of Solvable Lie Groups and their Applications
Didier ArnalBradley Currey IIIBradley Currey
其他書名
Basic Theory and Examples
出版Cambridge University Press, 2020-04-16
主題Mathematics / GeneralMathematics / Algebra / GeneralMathematics / Algebra / AbstractMathematics / Mathematical AnalysisMathematics / Functional Analysis
ISBN11084280969781108428095
URLhttp://books.google.com.hk/books?id=jnzUDwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.