Generalized Bessel transforms and unitary representations. (English) Zbl 0289.22014
Harmonic Analysis homog. Spaces, Proc. Sympos. Pure Math. 26, Williamstown 1972, 347-350 (1973).
MSC:
| 22E45 | Representations of Lie and linear algebraic groups over real fields: analytic methods |
| 22E30 | Analysis on real and complex Lie groups |
| 33C80 | Connections of hypergeometric functions with groups and algebras, and related topics |
| 32A07 | Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube) (MSC2010) |
| 32M15 | Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) |
| 33C10 | Bessel and Airy functions, cylinder functions, \({}_0F_1\) |
| 43A75 | Harmonic analysis on specific compact groups |
| 43A80 | Analysis on other specific Lie groups |
| 43A85 | Harmonic analysis on homogeneous spaces |
| 46E20 | Hilbert spaces of continuous, differentiable or analytic functions |
| 57S25 | Groups acting on specific manifolds |
