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LEADER: 04997cam a22003495a 4500
001 011540347-7
005 20140910154326.0
008 071017s2008 ja a b 010 0 eng
010 $a 2007939560
020 $a9784431732396 (acid-free paper)
035 0 $aocn191258390
040 $aDLC$cDLC$dDLC
050 00 $aQA371$b.A516 2008
082 00 $a515/.35$222
245 00 $aAlgebraic analysis of differential equations :$bfrom microlocal analysis to exponential asymptotics : festschrift in honor of Takahiro Kawai /$cT. Aoki ... [et al.] (eds.).
260 $aTokyo ;$aNew York :$bSpringer,$cc2008.
300 $axvii, 352 p. :$bill. ;$c25 cm.
504 $aIncludes bibliographical references.
505 0 $aThe 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.
520 $aThis is a collection of articles on algebraic analysis of di?erential equations and related topics. The contributors (T. Kawaiexcepted) and we, the editors, dedicate this volume to ProfessorTakahiroKAWAI,who is one ofthe creators of microlocal analysis, a central object of the subjects. To respect his many substantial contributions to the subjects, we have included some explanatory notes about the work of Professor T. Kawai in Part I of the volume. Most of the contributed articles in Part II of this volume were read at the Conference “Algebraic Analysis of Di?erential Equations — from Micro- cal Analysis to Exponential Asymptotics”, which we organized from July 7 through July 14, 2005 at the Research Institute for Mathematical Sciences, Kyoto University to celebrate Professor T. Kawai’s sixtieth birthday. Taking this opportunity, we would like to express once again our sincerest congra- lations to Professor Kawai.
520 $aKyoto in Japan, Takashi Aoki June 27, 2007 Hideyuki Majima Yoshitsugu Takei Nobuyuki Tose Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IX Part I The work of T. Kawai Publications of Professor Takahiro Kawai . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 The work of T. Kawai on hyperfunction theory and microlocal analysis, Part 1 — Microlocal analysis and di?erential equations Nobuyuki Tose. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 The work of T. Kawai on hyperfunction theory and microlocal analysis, Part 2 — Operators of in?nite order and convolution equations Takashi Aoki. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 The work of T. Kawai on exact WKB analysis Yoshitsugu Takei. . .
520 $a. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
650 0 $aDifferential equations.
650 0 $aMathematical analysis.
650 0 $aDifferential equations, partial.
650 0 $aFunctions, special.
650 0 $aIntegral Transforms.
650 0 $aMathematics.
700 1 $aKawai, Takahiro.
700 1 $aAoki, Takashi,$d1953-
988 $a20080818
906 $0DLC