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.
| ISBN: | 9781108428095 |
| Publication date: | 16th April 2020 |
| Author: | Didier Université de Bourgogne, France Arnal, Bradley Saint Louis University, Missouri Currey |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 478 pages |
| Series: | New Mathematical Monographs |
| Genres: |
Algebra Functional analysis and transforms |
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.
Representations of Solvable Lie Groups features in the following genres: Algebra, Functional analysis and transforms
Representations of Solvable Lie Groups is available in Hardback
Representations of Solvable Lie Groups was written by Didier Université de Bourgogne, France Arnal, Bradley Saint Louis University, Missouri Currey and published by Cambridge University Press
Representations of Solvable Lie Groups has 478 pages
Yes it is part of New Mathematical Monographs series
£138.60