Introduction to the Theory of Banach Representations of Groups (Operator Theory Advances & Applications) by Yurii I. Lyubich (PDF)

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    Ebook Info

    • Published: 2071
    • Number of pages: 232 pages
    • Format: PDF
    • File Size: 8.91 MB
    • Authors: Yurii I. Lyubich

    Description

    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.

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