Formal stationary phase for the Mellin transform of a \(\mathcal{D}\)-module

DOI10.4171/prims/59-3-2OpenAlexW4387484899MaRDI QIDQ6081844

Ricardo García López

Publication date: 26 October 2023

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/10.4171/prims/59-3-2

zbMATH Keywords

Mellin transformstationary phase\(\mathcal{D}\)-modulesdifference modules

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Difference operators (39A70)

Cites Work

• Calculation of local formal Mellin transforms
• The local Laplace transform of an elementary irregular meromorphic connection
• Note on the Stokes structure of Fourier transform
• Opérateurs intégro-différentiels méromorphes et opérateurs aux différences. (Meromorphic integro-differential operators and difference operators)
• On the calculation of some differential Galois groups
• Fourier transformat, constants of the functional equations and Weil conjecture
• Finite difference equations and determinants of integrals of multiform functions
• Differential equations with polynomial coefficients
• Galois theory of difference equations
• \(\ell\)-adic perverse sheaves over a torus
• Boyarsky principle and \(\mathcal D\)-modules
• A microlocal approach to the enhanced Fourier-Sato transform in dimension one
• Topological computation of some Stokes phenomena on the affine line
• Local Fourier transforms and rigidity for \({\mathcal D}\)-modules
• Microlocalization and stationary phase
• Some formal invariants of linear difference systems and their computations
• Faisceaux pervers, transformation de Mellin et déterminants
• Product formula forp-adic epsilon factors
• Rings of microdifferential operators for arithmetic $\mathscr{D}$-modules
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Formal stationary phase for the Mellin transform of a \(\mathcal{D}\)-module