Cauchy-Szegoe Kernels for Hardy Spaces on Simple Lie Groups
Journal of Lie Theory, Volume 5 (1995) no. 2, pp. 241-274
DOI:
10.5802/jolt.95
Classification:
43A85, 22E46, 32A10
Keywords: Lie group, representation, Shilov boundary, complex semigroup, Lie algebra, holomorphic functions, Hilbert space, Hardy space, Cauchy-Szegö kernel, symplectic groups, metaplectic groups, pseudo-unitary groups
Keywords: Lie group, representation, Shilov boundary, complex semigroup, Lie algebra, holomorphic functions, Hilbert space, Hardy space, Cauchy-Szegö kernel, symplectic groups, metaplectic groups, pseudo-unitary groups
@article{JOLT_1995_5_2_a7,
author = {G. Olshanski},
title = { Cauchy-Szegoe {Kernels} for {Hardy} {Spaces} on {Simple} {Lie} {Groups}},
journal = {Journal of Lie Theory},
pages = {241--274},
year = {1995},
volume = {5},
number = {2},
doi = {10.5802/jolt.95},
zbl = {0860.43008},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.95/}
}
G. Olshanski. Cauchy-Szegoe Kernels for Hardy Spaces on Simple Lie Groups. Journal of Lie Theory, Volume 5 (1995) no. 2, pp. 241-274. doi: 10.5802/jolt.95
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