We study Hilbert spaces of vector-valued holomorphic sections on tube domains of type II and III. We consider some small representations of the maximal compact subgroups and calculate the norm of each \(K\)-type in the Hilbert spaces. As a consequence we get composition series of the analytic contin
Reproducing kernels for Hardy spaces on multiply connected domains
✍ Scribed by Joseph A. Ball; Kevin F. Clancey
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1996
- Tongue
- English
- Weight
- 969 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
Let D be a bounded homogeneous domain in C n . (Note that D is not assumed to be Hermitian-symmetric.) In this work we are interested in studying various classes of ``harmonic'' functions on D and the possibility of representing them as ``Poisson integrals'' over the Bergman-Shilov boundary. One suc
The no-normal-flow condition states that the stream-function is constant at solid boundaries. For multiply connected domains these (unknown) constants differ per boundary and must be determined from integral conditions. This complicates discretization and solution of the problem considerably. In thi