Irregular holonomic kernels and Laplace transform

DOI10.1007/s00029-015-0185-yzbMath1337.32020arXiv1402.3642OpenAlexW1691215978MaRDI QIDQ907066

Masaki Kashiwara, Pierre Schapira

Publication date: 1 February 2016

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3642

zbMATH Keywords

Laplace transformirregular holonomic \(\mathcal D\)-modulesind-sheaves

Mathematics Subject Classification ID

Laplace transform (44A10) Sheaves of differential operators and their modules, (D)-modules (32C38) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

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Riemann-Hilbert correspondence for irregular holonomic \({\mathcal{D}}\)-modules, Note on algebraic irregular Riemann-Hilbert correspondence, Topological computation of some Stokes phenomena on the affine line, Enhanced perversities, Stokes matrices for Airy equations, Constructible sheaves and functions up to infinity, On Some Topological Properties of Fourier Transforms of Regular Holonomic -Modules, The local Laplace transform of an elementary irregular meromorphic connection, Enhanced specialization and microlocalization, Topological computation of Stokes matrices of some weighted projective lines, A microlocal approach to the enhanced Fourier-Sato transform in dimension one, \(\mathbb{C}\)-constructible enhanced ind-sheaves, Approximations in globally subanalytic and Denjoy-Carleman classes, On irregularities of Fourier transforms of regular holonomic \(\mathcal{D}\)-modules, D-modules of pure Gaussian type and enhanced ind-sheaves

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