On the meromorphic extension of the spherical functions on noncompactly causal symmetric spaces

DOI10.1006/jfan.2000.3721zbMath0985.43008OpenAlexW2074475235MaRDI QIDQ5933455

Gestur Olafsson, Angela Pasquale

Publication date: 27 May 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3721

zbMATH Keywords

spherical functionsBernstein polynomialsinvariant differential operators\(c\)-functionBernstein theoremmeromorphic extensionsnoncompactly causal symmetric space

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Harmonic analysis and spherical functions (43A90)

Related Items (5)

Asymptotic analysis of \(\Theta\)-hypergeometric functions ⋮ A Paley-Wiener theorem for the \(\Theta\)-hypergeometric transform: the even multiplicity case ⋮ The Cos\(^\lambda\) and Sin\(^\lambda\) transforms as intertwining operators between generalized principal series representations of SL\((n+1,\mathbb K)\) ⋮ Spherical functions on mixed symmetric spaces ⋮ Meromorphic extension of the spherical functions on a class of ordered symmetric spaces

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