Automorphism groups of symmetric domains in Hilbert spaces form a natural class of infinite dimensional Lie algebras and corresponding Banach Lie groups. We give a classification of the algebraic category of unitary highest weight modules for such Lie algebras and show that infinite dimensional vers
Hilbert spaces of holomorphic functions on bounded domains
β Scribed by Gerd Fischer
- Publisher
- Springer
- Year
- 1970
- Tongue
- English
- Weight
- 306 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0025-2611
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let D be a bounded symmetric domain of tube type and 7 be the Shilov boundary of D. Denote by H 2 (D) and A 2 (D) the Hardy and Bergman spaces, respectively, of holomorphic functions on D; and let B(H 2 (D)) and B(A 2 (D)) denote the closed unit balls in these spaces. For an integer l 0 we define th
Q. The conditions on the weights are expressed in terms of the hyperbolic metric in Corollary 3.2 and in terms of the Euclidean metric in Corollary 4.1. We denote IN = { 1,2,. . . } and IN0 = {0,1, . . . } . Let D denote the open unit disk of Q: and Q: oo the extended complex plane. q, denotes the