Singular invariant trilinear forms and covariant (bi-)differential operators under the conformal group

DOI10.1016/J.JFA.2012.02.021zbMath1244.43004OpenAlexW2066449188MaRDI QIDQ425723

Jean-Louis Clerc, Ralf Beckmann

Publication date: 8 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2012.02.021

zbMATH Keywords

meromorphic continuationsingular conformally invariant trilinear formsBernstein-Sato identityconformally covariant (bi)-differential operatorsKnapp-Stein intertwining operatorsresidues of meromorphic familyspherical principal series

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Proceedings, conferences, collections, etc. pertaining to abstract harmonic analysis (43-06)

Related Items (12)

Knapp-Stein type intertwining operators for symmetric pairs ⋮ Singular conformally invariant trilinear forms. I: The multiplicity one theorem ⋮ Covariant bi-differential operators on matrix space ⋮ Singular conformally invariant trilinear forms. II: The higher multiplicity case ⋮ Conformally covariant differential operators for the diagonal action of \(O(p,q)\) on real quadrics ⋮ Another approach to Juhl's conformally covariant differential operators from \(S^n\) to \(S^{n-1}\) ⋮ Invariant trilinear forms on spherical principal series of real rank one semisimple Lie groups ⋮ Invariant trilinear forms for spherical degenerate principal series of complex symplectic groups ⋮ Symmetry breaking differential operators for tensor products of spinorial representations ⋮ Conformally covariant bi-differential operators for differential forms ⋮ Symmetry breaking differential operators, the source operator and Rodrigues formulae ⋮ Invariant differential operators on H-type groups and discrete components in restrictions of complementary series of rank one semisimple groups

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• TENSOR PRODUCTS OF UNITARY REPRESENTATIONS OF THE THREE-DIMENSIONAL LORENTZ GROUP
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