Micro-local properties of $\prod\nolimits_{j = 1}^n \mathcal{f}_{j + }^{s_j }$

DOI10.3792/pja/1195518633zbMath0304.35068OpenAlexW2020153094MaRDI QIDQ4059864

Masaki Kashiwara, Takahiro Kawai

Publication date: 1975

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518633

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Hyperfunctions, analytic functionals (46F15) Partial differential equations on manifolds; differential operators (58J99) Overdetermined problems for partial differential equations and systems of partial differential equations (35N99)

Related Items (4)

Micro-analyticity of the S-matrix and related functions ⋮ On holonomic systems for \(\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}\) ⋮ On a conjecture of Regge and Sato on Feynman integrals ⋮ B-functions and holonomic systems. Rationality of roots of B-functions

Cites Work

• Meromorphic property of the functions \(P^ \lambda\)
• Modules over a ring of differential operators. Study of the fundamental solutions of equations with constant coefficients
• Index theorem for a maximally overdetermined system of linear differential equations
• Resolution of Singularities and Division of Distributions
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