书目名称 | Non-Abelian Harmonic Analysis | 副标题 | Applications of SL ( | 编辑 | Roger Howe,Eng Chye Tan | 视频video | | 丛书名称 | Universitext | 图书封面 |  | 描述 | This book mainly discusses the representation theory of the special linear group 8L(2, 1R), and some applications of this theory. In fact the emphasis is on the applications; the working title of the book while it was being writ ten was "Some Things You Can Do with 8L(2). " Some of the applications are outside representation theory, and some are to representation theory it self. The topics outside representation theory are mostly ones of substantial classical importance (Fourier analysis, Laplace equation, Huyghens‘ prin ciple, Ergodic theory), while the ones inside representation theory mostly concern themes that have been central to Harish-Chandra‘s development of harmonic analysis on semisimple groups (his restriction theorem, regularity theorem, character formulas, and asymptotic decay of matrix coefficients and temperedness). We hope this mix of topics appeals to nonspecialists in representation theory by illustrating (without an interminable prolegom ena) how representation theory can offer new perspectives on familiar topics and by offering some insight into some important themes in representation theory itself. Especially, we hope this book popularizes Harish-Chandra‘s | 出版日期 | Textbook 1992 | 关键词 | Fourier analysis; Lie; Matrix; algebra; classification; eigenvector; equation; ergodic theory; group; lie alg | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4613-9200-2 | isbn_softcover | 978-0-387-97768-3 | isbn_ebook | 978-1-4613-9200-2Series ISSN 0172-5939 Series E-ISSN 2191-6675 | issn_series | 0172-5939 | copyright | Springer-Verlag New York, Inc. 1992 |
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