Invariant hyperfunction solutions to invariant differential equations on the space of real symmetric matrices

DOI10.1006/jfan.2001.3936zbMath1036.35011OpenAlexW2058750589MaRDI QIDQ1849075

Masakazu Muro

Publication date: 28 November 2002

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

Full work available at URL: https://doi.org/10.1006/jfan.2001.3936

zbMATH Keywords

Laurent expansion

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Hyperfunctions, analytic functionals (46F15) Geometric theory, characteristics, transformations in context of PDEs (35A30) Relations of PDEs on manifolds with hyperfunctions (58J15)

Related Items (1)

\(\mathcal{D}\)-modules on representations of Capelli type

Cites Work

• L'equation des ondes avec second membre invariant
• Singular invariant tempered distributions on regular prehomogeneous vector spaces
• On zeta functions associated with prehomogeneous vector spaces
• B-functions and holonomic systems. Rationality of roots of B-functions
• Invariant hyperfunctions on regular prehomogeneous vector spaces of commutative parabolic type
• Algebraically independent generators of invariant differential operators on a bounded symmetric domain
• Microlocal analysis and calculations on some relatively invariant hyperfunctions related to zeta functions associated with the vector spaces of quadratic forms
• Singular invariant hyperfunctions on the space of real symmetric matrices
• Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
• The solution of Cauchy's problem for two totally hyperbolic linear differential equations by means of Riesz integrals
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• Sur les distributions invariantes dans le groupe des rotations de Lorentz
• Algebraically independent generators of invariant differential operators on a symmetric cone.
• Distributions homogènes sur une algèbre de Jordan
• Singular invariant hyperfunctions on the space of complex and quaternion Hermitian matrices
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