
Algebraic Analysis of Differential Equations
from Microlocal Analysis to Exponential Asymptotics
Published on 16. November 2007
Book
Hardback
XVIII, 354 pages
978-4-431-73239-6 (ISBN)
Description
This volume contains 23 articles on algebraic analysis of differential equations and related topics, most of which were presented as papers at the conference "Algebraic Analysis of Differential Equations - from Microlocal Analysis to Exponential Asymptotics" at Kyoto University in 2005. This volume is dedicated to Professor Takahiro Kawai, who is one of the creators of microlocal analysis and who introduced the technique of microlocal analysis into exponential asymptotics.
More details
Edition
2008 ed.
Language
English
Place of publication
Tokyo
Japan
Target group
Professional and scholarly
Research
Product notice
sewn/stitched
Cloth over boards
Illustrations
XVIII, 354 p.
Dimensions
Height: 242 mm
Width: 167 mm
Thickness: 33 mm
Weight
783 gr
ISBN-13
978-4-431-73239-6 (9784431732396)
DOI
10.1007/978-4-431-73240-2
Schweitzer Classification
Other editions
Additional editions

T. Aoki | H. Majima | Y. Takei
Algebraic Analysis of Differential Equations
from Microlocal Analysis to Exponential Asymptotics
Book
10/2010
Springer
€106.99
Shipment within 10-15 days

T. Aoki | H. Majima | Y. Takei
Algebraic Analysis of Differential Equations
from Microlocal Analysis to Exponential Asymptotics
E-Book
03/2009
1st Edition
Springer
€96.29
Available for download
Content
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.