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Titlebook: Elements of the Theory of Representations; Aleksandr A. Kirillov Book 1976 Springer-Verlag Berlin Heidelberg 1976 Darstellung.Group repres

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Fourier Transforms and Dualityn spaces on groups and homogeneous spaces in terms of the representations that appear in them. Here a great rôle is played by the generalized Fourier transform. As is known, the classical Fourier transform on the real line carries translations into multiplication by functions and thus gives the spec
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Finite Groups2, 3,4,5,6.A second mathematician comes to the institute on the following day and replaces each number by the arithmetic mean of the adjacent numbers. The first mathematician notices this on the third day and responds by also replacing each number by the arithmetic mean of the adjacent numbers. What
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