Microlocal analysis and calculations on some relatively invariant hyperfunctions related to zeta functions associated with the vector spaces of quadratic forms

DOI10.2977/prims/1195177844zbMath0613.58029OpenAlexW2038632600MaRDI QIDQ1819442

Masakazu Muro

Publication date: 1986

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/1195177844

zbMATH Keywords

canonical formhyperfunctionsmicrodifferential equation and systemsimple holonomic microdifferential systems

Mathematics Subject Classification ID

Relations of PDEs on manifolds with hyperfunctions (58J15)

Related Items (8)

Singular invariant tempered distributions on regular prehomogeneous vector spaces ⋮ On uniqueness of hyperfunction solutions of holonomic systems ⋮ Dimension formulas for the hyperfunction solutions to holonomic \(\mathcal D\)-modules ⋮ Singular invariant hyperfunctions on the space of real symmetric matrices ⋮ The Adelic Zeta Function Associated With the Space of Binary Cubic Forms With Coefficients in a Function Field ⋮ Invariant hyperfunctions on regular prehomogeneous vector spaces of commutative parabolic type ⋮ The adèlic zeta function associated to the space of binary cubic forms. I: Global theory ⋮ Invariant hyperfunction solutions to invariant differential equations on the space of real symmetric matrices

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