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Algebraic Analysis of Differential Equations from Microlocal Analysis to Exponential Asymptotics /

Corporate Author: SpringerLink (Online service)
Other Authors: Aoki, T. (Editor, http://id.loc.gov/vocabulary/relators/edt), Majima, H. (Editor, http://id.loc.gov/vocabulary/relators/edt), Takei, Y. (Editor, http://id.loc.gov/vocabulary/relators/edt), Tose, N. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Language:English
Published: Tokyo : Springer Japan : Imprint: Springer, 2008.
Edition:1st ed. 2008.
Subjects:
Integral transforms.
Operational calculus.
Differential equations.
Partial differential equations.
Special functions.
Integral Transforms, Operational Calculus.
Ordinary Differential Equations.
Partial Differential Equations.
Special Functions.
Online Access:https://doi.org/10.1007/978-4-431-73240-2
Table of Contents:
  • The work of T. Kawai
  • Publications of Professor Takahiro Kawai
  • The work of T. Kawai on hyperfunction theory and microlocal analysis
  • The work of T. Kawai on hyperfunction theory and microlocal analysis
  • The work of T. Kawai on exact WKB analysis
  • Contributed papers
  • Virtual turning points — A gift of microlocal analysis to the exact WKB analysis
  • Regular sequences associated with the Noumi-Yamada equations with a large parameter
  • Ghost busting: Making sense of non-Hermitian Hamiltonians
  • Vanishing of the logarithmic trace of generalized Szegö projectors
  • Nonlinear Stokes phenomena in first or second order differential equations
  • Reconstruction of inclusions for the inverse boundary value problem for non-stationary heat equation
  • Exact WKB analysis near a simple turning point
  • The Borel transform
  • On the use of Z-transforms in the summation of transseries for partial differential equations
  • Some dynamical aspects of Painlevé VI
  • An algebraic representation for correlation functions in integrable spin chains
  • Inverse image of D-modules and quasi-b-functions
  • The hypoelliptic Laplacian of J.-M. Bismut
  • Commuting differential operators with regular singularities
  • The behaviors of singular solutions of some partial differential equations in the complex domain
  • Observations on the JWKB treatment of the quadratic barrier
  • A role of virtual turning points and new Stokes curves in Stokes geometry of the quantum Hénon map
  • Spectral instability for non-selfadjoint operators
  • Boundary and lens rigidity, tensor tomography and analytic microlocal analysis
  • Coupling of two partial differential equations and its application
  • Instanton-type formal solutions for the first Painlevé hierarchy
  • From exact-WKB toward singular quantum perturbation theory II
  • WKB analysis and Poincaré theorem for vector fields.

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