Integral transforms with exponential kernels and Laplace transform

DOI10.1090/S0894-0347-97-00245-2zbMath0888.32004OpenAlexW1508757749MaRDI QIDQ4372633

Pierre Schapira, Masaki Kashiwara

Publication date: 16 December 1997

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0894-0347-97-00245-2

zbMATH Keywords

Laplace transformintegral transformsexponential kernels

Mathematics Subject Classification ID

Laplace transform (44A10) Sheaves of differential operators and their modules, (D)-modules (32C38) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10)

Related Items

Weight filtrations on GKZ-systems, Microlocal Approach to Lusztig’s Symmetries, Euler characteristic surfaces, Irregular holonomic kernels and Laplace transform, Conic sheaves on subanalytic sites and Laplace transform, Radon and Fourier transforms for \(\mathcal D\)-modules., Gauß–Manin systems of families of Laurent polynomials and A-hypergeometric systems, Andreotti-Norguet correspondence and \(\mathcal D\)-modules, On irregularities of Fourier transforms of regular holonomic \(\mathcal{D}\)-modules

Cites Work

• The invariant holonomic system on a semisimple Lie algebra
• The Riemann-Hilbert problem for holonomic systems
• Transformation de Fourier et majoration de sommes exponentielles. (Fourier transformation and majoration of exponential sums.)
• La transformation de Fourier pour les \({\mathcal D}\)-modules. (Fourier transform for \({\mathcal D}\)-modules)
• Leray's quantization of projective duality
• Microlocalisation tempérée
• Moderate and formal cohomology associated with constructible sheaves
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