Irreducible representations of the group of movements of the Euclidean plane. (English) Zbl 0304.22013
MSC:
22E45 | Representations of Lie and linear algebraic groups over real fields: analytic methods |
33C80 | Connections of hypergeometric functions with groups and algebras, and related topics |
References:
[1] | Akhiezer, Theory of linear operators in Hilbert Space 1 (1966) |
[2] | Vilenkin, Special Functions and the Theory of Group Representations (1968) · Zbl 0172.18404 |
[3] | Vilenkin, Bessel functions and representations of the group of Euclidean movements (1956) |
[4] | Bingen, Bull. Soc. Math. de Belg. pp 115– (1965) |
[5] | Naimark, Normed Rings (1964) |
[6] | Hille, Functional Analysis and Semigroups (1957) |
[7] | Gelfand, Representations of the group of rotations 2 (1956) |
[8] | DOI: 10.1007/BF01343793 · Zbl 0080.32002 · doi:10.1007/BF01343793 |
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