Algebraic Analysis of Differential Equations

Inhaltsverzeichnis

• 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 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.