Download E-books Special Functions and the Theory of Group Representations PDF

By N J Vilenkin

A customary scheme for a relation among particular services and workforce illustration idea is the subsequent: yes sessions of designated services are interpreted as matrix components of irreducible representations of a definite Lie team, after which homes of detailed capabilities are on the topic of (and derived from) basic recognized evidence of illustration idea. The booklet combines nearly all of identified ends up in this course. specifically, the writer describes connections among the exponential services and the additive staff of actual numbers (Fourier analysis), Legendre and Jacobi polynomials and representations of the gang $SU(2)$, and the hypergeometric functionality and representations of the gang $SL(2,R)$, in addition to many different periods of precise features.

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