scientific article; zbMATH DE number 1121891
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Publication:4379406
zbMath0909.22024MaRDI QIDQ4379406
Publication date: 28 March 1999
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hypergeometric functionsboundary value problemsdifferential operatorsprincipal series representationsCapelli identityPoisson transforms
Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Other hypergeometric functions and integrals in several variables (33C70) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)
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Functional equations of prehomogeneous zeta functions and intertwining operators ⋮ Integral geometry on Grassmann manifolds and calculus of invariant differential operators ⋮ Range theorems and inversion formulas for Radon transforms on Grassmann manifolds ⋮ Generalized Whittaker functions for degenerate principal series of \(\mathrm{GL}(n, \mathbb{R})\) ⋮ Radon transforms for quasi-equivariant \(\mathcal D\)-modules on generalized flag manifolds ⋮ Boundary value problems for various boundaries of Hermitian symmetric spaces ⋮ Intersection of harmonics and Capelli identities for symmetric pairs ⋮ A quantization of conjugacy classes of matrices ⋮ Boundary Value Problems on Riemannian Symmetric Spaces of the Noncompact Type
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