Function spaces on the Ol'shanskiĭ semigroup and the Gel'fand-Gindikin program

DOI10.5802/aif.1528zbMath0853.22010OpenAlexW2032760913MaRDI QIDQ1816871

Khalid Koufany, Bent Orsted

Publication date: 28 November 1996

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1996__46_3_689_0

zbMATH Keywords

Hardy spaceCayley transformOl'shanskiĭ semigroupcomposition seriesholomorphic discrete seriesCauchy-Szegö kernel

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Analysis on ordered groups, (H^p)-theory (43A17)

Related Items

Algebraic structures of Makarevič spaces. I, Split quaternionic analysis and separation of the series for \(\mathrm{SL}(2,\mathbb R)\) and \(\mathrm{SL}(2,\mathbb C)/\mathrm{SL}(2,\mathbb R)\), Berezin kernels of tube domains, Causal compactification of compactly causal spaces, Boundary orbit strata and faces of invariant cones and complex Ol’shanskiĭ semigroups, Weighted Bergman spaces and the holomorphic discrete series of \(\widetilde{U(p,q)}\), Projections Separating Spectra for $\boldsymbol{L^2}$ on Pseudounitary Groups $\boldsymbol{{\mathrm U}(p,q)}$, Hardy spaces and analytic continuation of Bergman spaces

Cites Work

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