On Some Topological Properties of Fourier Transforms of Regular Holonomic -Modules

DOI10.4153/S0008439519000559zbMath1439.32025arXiv1807.09147OpenAlexW2976787059WikidataQ127189533 ScholiaQ127189533MaRDI QIDQ5108010

Yohei Ito, Kiyoshi Takeuchi

Publication date: 29 April 2020

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.09147

zbMATH Keywords

Fourier transformirregular singularity\(\mathcal{D}\)-module

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60)

Related Items (1)

On irregularities of Fourier transforms of regular holonomic \(\mathcal{D}\)-modules

Cites Work

• Riemann-Hilbert correspondence for holonomic \(\mathcal{D}\)-modules
• Conic sheaves on subanalytic sites and Laplace transform
• \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
• Hypergeometric periods for a tame polynomial
• Irregular holonomic kernels and Laplace transform
• Note on the Stokes structure of Fourier transform
• 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)
• A microlocal approach to the enhanced Fourier-Sato transform in dimension one
• Topological computation of some Stokes phenomena on the affine line
• On irregularities of Fourier transforms of regular holonomic \(\mathcal{D}\)-modules
• Microlocal condition for non-displaceability
• Formal structure of direct image of holonomic \({\mathcal{D}}\)-modules of exponential type
• Local Fourier transforms and rigidity for \({\mathcal D}\)-modules
• Regular and Irregular Holonomic D-Modules
• Irregularity of an analogue of the Gauss-Manin systems
• An explicit stationary phase formula for the local formal Fourier-Laplace transform
• Integral representations for solutions of exponential Gauß-Manin systems
• Categories and Sheaves
• Stokes Structure and Direct Image of Irregular Singular $\mathcal D$-Modules
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