A definition of boundary values of solutions of partial differential equations with regular singularities

DOI10.2977/prims/1195182027zbMath0559.35007OpenAlexW2097276225MaRDI QIDQ2266161

Toshio Oshima

Publication date: 1983

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195182027

zbMATH Keywords

singularitiesinvariant differential operatorsSchwartz distributionsregular solutionsRiemannian symmetric spacePoisson integral representationsimultaneous eigenfunction

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Analyticity in context of PDEs (35A20) Hyperfunctions, analytic functionals (46F15)

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Cites Work

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• Eigenspaces of invariant differential operators on an affine symmetric space
• Systems of differential equations with regular singularities and their boundary value problems
• Eigenfunctions of invariant differential operators on a symmetric space
• A duality for symmetric spaces with applications to group representations
• Boundary values of hyperfunction solutions of linear partial differential equations