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Functions on the Shilov boundary of the generalized half plane. (English) Zbl 0416.22006
Non-commutative harmonic analysis, Proc., Marseille-Luminy 1978, Lect. Notes Math. 728, 136-176 (1979).

22D10 Unitary representations of locally compact groups
32M15 Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects)
46F15 Hyperfunctions, analytic functionals