On holonomic systems for \(\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}\)

DOI10.2977/prims/1195188184zbMath0449.35067OpenAlexW2507915457MaRDI QIDQ1147302

Masaki Kashiwara, Takahiro Kawai

Publication date: 1979

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/1195188184

zbMATH Keywords

hyperfunctioncharacteristic varietyholonomic systems

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Hyperfunctions, analytic functionals (46F15) Linear higher-order PDEs (35G05) Overdetermined systems of PDEs with variable coefficients (35N10) General topics in partial differential equations (35A99)

Related Items (15)

Knapp-Stein type intertwining operators for symmetric pairs ⋮ Characteristic cycles associated to holonomic \({\mathscr{D}} \)-modules ⋮ Involutivité des variétés microcaractéristiques ⋮ Real double flag varieties for the symplectic group ⋮ Micro-analyticity of the S-matrix and related functions ⋮ Micro-local analysis of prehomogeneous vector spaces ⋮ Espaces conormaux relatifs I : Conditions de transversalité ⋮ Meromorphic continuation of Koba-Nielsen string amplitudes ⋮ A canonical form of a system of microdifferential equations with non- involutory characteristics and branching of singularities ⋮ Zero loci of Bernstein-Sato ideals. II ⋮ Zero loci of Bernstein-Sato ideals ⋮ Unnamed Item ⋮ On asymptotic approximations of the residual currents ⋮ The invariant holonomic system on a semisimple Lie algebra ⋮ Zeta functions of prehomogeneous vector spaces with coefficients related to periods of automorphic forms

Cites Work

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• Micro-analytic structure of the S-matrix and related functions
• B-functions and holonomic systems. Rationality of roots of B-functions
• Tangents to an analytic variety
• Meromorphic property of the functions \(P^ \lambda\)
• Modules over a ring of differential operators. Study of the fundamental solutions of equations with constant coefficients
• Micro-local properties of $\prod\nolimits_{j = 1}^n \mathcal{f}_{j + }^{s_j }$
• On a conjecture of Regge and Sato on Feynman integrals
• Resolution of Singularities and Division of Distributions

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