| 書目名稱 | Introduction to the Theory of Banach Representations of Groups | | 編輯 | Yurii I. Lyubich | | 視頻video | http://file.papertrans.cn/475/474408/474408.mp4 | | 叢書名稱 | Operator Theory: Advances and Applications | | 圖書封面 |  | | 描述 | The theory of group representations plays an important roie in modern mathematics and its applica~ions to natural sciences. In the compulsory university curriculum it is included as a branch of algebra, dealing with representations of finite groups (see, for example, the textbook of A. I. Kostrikin [25]). The representation theory for compact, locally compact Abelian, and Lie groups is co- vered in graduate courses, concentrated around functional analysis. The author of the present boo~ has lectured for many years on functional analysis at Khar‘kov University. He subsequently con- tinued these lectures in the form of a graduate course on the theory of group representations, in which special attention was devoted to a retrospective exposition of operator theory and harmo- nic analysis of functions from the standpoint of representation theory. In this approach it was natural to consider not only uni- tary, but also Banach representations, and not only representations of groups, but also of semigroups. | | 出版日期 | Book 1988 | | 關(guān)鍵詞 | Banach space; algebra; finite group; functional analysis; lie group; operator theory; representation theor | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-9169-1 | | isbn_softcover | 978-3-7643-2207-6 | | isbn_ebook | 978-3-0348-9169-1Series ISSN 0255-0156 Series E-ISSN 2296-4878 | | issn_series | 0255-0156 | | copyright | Birkh?user Basel 1988 |
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