Radon transform on symmetric matrix domains

DOI10.1090/S0002-9947-08-04658-8zbMath1168.22012arXiv0711.1476MaRDI QIDQ3617618

Genkai Zhang

Publication date: 30 March 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1476

zbMATH Keywords

Radon transformLie groupsinvariant differential operatorsGrassmannian manifoldsinverse Radon transformCherednik operatorssymmetric domainsBernstein-Sato formulafractional integrations

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Radon transform (44A12) Analysis on real and complex Lie groups (22E30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Hypergeometric functions associated with root systems (33C67)

Related Items

Radon transforms on Siegel-type nilpotent Lie groups

Cites Work

• Radon transforms on higher rank Grassmannians
• Integral geometry on Grassmann manifolds and calculus of invariant differential operators
• The Radon transform
• Berezin transform on compact Hermitian symmetric spaces
• Helmholtz operators on harmonic manifolds
• Pfaffian systems and Radon transforms on affine Grassmann manifolds
• Radon, cosine and sine transforms on real hyperbolic space
• Branching coefficients of holomorphic representations and Segal-Bargmann transform
• Radon inversion on Grassmannians via Gårding-Gindikin fractional integrals
• Harmonic analysis for certain representations of graded Hecke algebras
• Heat kernel and Green function estimates on noncompact symmetric spaces
• Nonsymmetric Jack polynomials and integral kernels
• The surjectivity of invariant differential operators on symmetric spaces. I
• Radon transform on real, complex, and quaternionic Grassmannians
• On Y. Nievergelt's inversion formula for the Radon transform
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