Algebraic Analysis of Differential Equations from Microlocal Analysis to Exponential Asymptotics Festschrift in Honor of Takahiro Kawai /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Aoki, Takashi (Επιμελητής έκδοσης), Majima, Hideyuki (Επιμελητής έκδοσης), Takei, Yoshitsugu (Επιμελητής έκδοσης), Tose, Nobuyuki (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Tokyo : Springer Japan, 2008.
• Θέματα: Mathematics.; Integral transforms.; Operational calculus.; Differential equations.; Partial differential equations.; Special functions.; Integral Transforms, Operational Calculus.; Ordinary Differential Equations.; Partial Differential Equations.; Special Functions.

 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.