Algebraic Analysis of Differential Equations : from Microlocal Analysis to Exponential Asymptotics Festschrift in Honor of Takahiro Kawai /
Contributor(s): Aoki, Takashi [editor.] | Majima, Hideyuki [editor.] | Takei, Yoshitsugu [editor.] | Tose, Nobuyuki [editor.] | SpringerLink (Online service).
Material type:
BookPublisher: Tokyo : Springer Japan, 2008.Description: XVII, 352 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9784431732402.Other title: Festschrift in Honor of Takahiro Kawai.Subject(s): Mathematics | Integral transforms | Operational calculus | Differential equations | Partial differential equations | Special functions | Mathematics | Integral Transforms, Operational Calculus | Ordinary Differential Equations | Partial Differential Equations | Special FunctionsDDC classification: 515.72 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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PK Kelkar Library, IIT Kanpur | Available | EBK10478 |
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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