Introduction to the Theory of Banach Representations of Groups

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 lect…