In this paper, we establish Bochner Weil type theorems and integral formulas of Le vy Khinchin type in the setting of locally compact commutative semigroups with involution. These results are used to prove some new holomorphic extension results. For a conelike involution semigroup S in a finite dime
Harmonic Analysis and H2-Functions on Siegel Domains of Type II
β Scribed by R. D. Ogden and S. Vagi
- Book ID
- 123650473
- Publisher
- National Academy of Sciences
- Year
- 1972
- Tongue
- English
- Weight
- 552 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0027-8424
- DOI
- 10.2307/60969
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π SIMILAR VOLUMES
We consider here a generalization of the Hua system that was proved by Johnson and KorΓ‘nyi to characterize Poisson-Szego Λintegrals for Siegel domains of tubetype. We show that the situation is completely different when dealing with nontube-type symmetric irreducible symmetric domains: then all func
## Abstract New Besov spaces of Mβharmonic functions are introduced on a bounded symmetric domain in β^__n__^. Various characterizations of these spaces are given in terms of the intrinsic metrics, the LaplaceβBeltrami operator and the action of the group of the domain.