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.

Πίνακας περιεχομένων:

• 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.