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{ "item_title" : "Introduction to the Theory of Banach Representations of Groups", "item_author" : [" Yurii I. Lyubich "], "item_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. Kostrikin25]). 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.", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/3/76/432/207/3764322071_b.jpg", "price_data" : { "retail_price" : "54.99", "online_price" : "54.99", "our_price" : "54.99", "club_price" : "54.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Introduction to the Theory of Banach Representations of Groups|Yurii I. Lyubich

Introduction to the Theory of Banach Representations of Groups

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Overview

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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Details

  • ISBN-13: 9783764322076
  • ISBN-10: 3764322071
  • Publisher: Birkhauser
  • Publish Date: January 1988
  • Dimensions: 9.61 x 6.69 x 0.51 inches
  • Shipping Weight: 0.86 pounds
  • Page Count: 224

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