Stokes matrices for Airy equations

DOI10.2748/tmj.20210506OpenAlexW3141128036MaRDI QIDQ2679740

Konstantin Jakob, Andreas Hohl

Publication date: 23 January 2023

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.16497

zbMATH Keywords

Fourier-Laplace transformStokes phenomenonhypergeometric equationsAiry equations

Mathematics Subject Classification ID

Laplace transform (44A10) Generalized hypergeometric series, ({}_pF_q) (33C20) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items

Airy sheaves for reductive groups

Cites Work

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• Riemann-Hilbert correspondence for holonomic \(\mathcal{D}\)-modules
• \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
• The local Laplace transform of an elementary irregular meromorphic connection
• Global Weyl groups and a new theory of multiplicative quiver varieties
• Irregular holonomic kernels and Laplace transform
• Matrices de Stokes et groupe de Galois des équations hypergéometriques confluentes generalisées. (Stokes matrices and Galois groups of generalized confluent hypergeometric equations)
• A rigid irregular connection on the projective line
• Transformation de Fourier et majoration de sommes exponentielles. (Fourier transformation and majoration of exponential sums.)
• On the calculation of some differential Galois groups
• Monodromy for the hypergeometric function \(_ nF_{n-1}\)
• Differential equations with polynomial coefficients
• Perverse sheaves and quivers
• D-modules of pure Gaussian type and enhanced ind-sheaves
• Topological computation of some Stokes phenomena on the affine line
• Enhanced perversities
• Local Fourier transforms and rigidity for \({\mathcal D}\)-modules
• Exponential Sums and Differential Equations. (AM-124)
• A conjecture in the arithmetic theory of differential equations
• Rigid connections on P1 via the Bruhat–Tits building
• Topology of the Stokes phenomenon
• Stokes Matrices for Confluent Hypergeometric Equations