Holomorphic horospherical transform on noncompactly causal spaces

DOI10.1155/IMRN/2006/76857zbMath1112.22001arXivmath/0601728OpenAlexW1980589155MaRDI QIDQ3428123

Bernhard Krötz, Gestur Olafsson, Simon G. Gindikin

Publication date: 27 March 2007

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601728

zbMATH Keywords

Fourier analysispseudodifferential operatorstrip domainnoncompactly causal symmetric spaceshorospherical Cauchy transformCauchy-type integral operatorFréchet moduleCayley-type spacescomplex horospheresCR-realization of the \(H\)-spherical holomorphic vectorholomorphic horospherical Radon transformholomorphic integral geometryhorospheres on symmetric spaces of triangular typeinversion of the holomorphic Radon transformmost continuous Hardy spaceRadon transform and Cauchy integral on the hyperboloidShilov boundaries of Stein tubes

Mathematics Subject Classification ID

Radon transform (44A12) Semisimple Lie groups and their representations (22E46) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Proceedings, conferences, collections, etc. pertaining to topological groups (22-06)

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