On irregularities of Fourier transforms of regular holonomic \(\mathcal{D}\)-modules
DOI10.1016/j.aim.2020.107093zbMath1484.32014arXiv1801.07444OpenAlexW3010438952MaRDI QIDQ2309125
Publication date: 27 March 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.07444
Sheaves of differential operators and their modules, (D)-modules (32C38) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Riemann-Hilbert correspondence for holonomic \(\mathcal{D}\)-modules
- Riemann-Hilbert correspondence for irregular holonomic \({\mathcal{D}}\)-modules
- Resonance equals reducibility for \(A\)-hypergeometric systems
- Monodromies at infinity of confluent \(A\)-hypergeometric functions
- Conic sheaves on subanalytic sites and Laplace transform
- \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
- Microlocal study of topological Radon transforms and real projective duality
- Irregular holonomic kernels and Laplace transform
- Note on the Stokes structure of Fourier transform
- Good formal structures for flat meromorphic connections. I: Surfaces
- Transformation de Fourier et majoration de sommes exponentielles. (Fourier transformation and majoration of exponential sums.)
- Generalized Euler integrals and \(A\)-hypergeometric functions
- Differential equations with polynomial coefficients
- Hypergeometric functions and rings generated by monomials
- Topological Radon transforms and the local Euler obstruction
- Sheaves in topology
- A microlocal approach to the enhanced Fourier-Sato transform in dimension one
- Topological computation of some Stokes phenomena on the affine line
- Microlocal condition for non-displaceability
- Local Fourier transforms and rigidity for \({\mathcal D}\)-modules
- Hypergeometric D-modules and twisted Gauß-Manin systems
- Regular and Irregular Holonomic D-Modules
- Irreducible quotients ofA-hypergeometric systems
- Good formal structures for flat meromorphic connections, II: Excellent schemes
- Wild Harmonic Bundles and Wild Pure Twistor D-modules
- On the Laplace Transform for Tempered Holomorphic Functions
- An explicit stationary phase formula for the local formal Fourier-Laplace transform
- Good formal structure for meromorphic flat connections on smooth projective surfaces
- Integral transforms with exponential kernels and Laplace transform
- On Some Topological Properties of Fourier Transforms of Regular Holonomic -Modules
- Confluent A-hypergeometric functions and rapid decay homology cycles
- Monodromy at Infinity of Polynomial Maps and Newton Polyhedra (with an Appendix by C. Sabbah)
- Categories and Sheaves
This page was built for publication: On irregularities of Fourier transforms of regular holonomic \(\mathcal{D}\)-modules