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

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

Author
Takashi Aoki, Hideyuki Majima, Yoshitsugu Takei …
Publication Year
2008
Publisher
Springer
Language
English
Document Type
Book
Faculty / Subject Heading
Mathematics and Statistics

This volume contains 23 articles on algebraic analysis of differential equations and related topics, most of which were presented as papers at the international conference "Algebraic Analysis of Differential Equations – from Microlocal Analysis to Exponential Asymptotics" at Kyoto University in 2005. Microlocal analysis and exponential asymptotics are intimately connected and provide powerful tools that have been applied to linear and non-linear differential equations as well as many related fields such as real and complex analysis, integral transforms, spectral theory, inverse problems, integrable systems, and mathematical physics. The articles contained here present many new results and ideas, providing interested researchers and students with valuable suggestions and instructive guidance for their work.


Keywords: Mathematics and Statistics / Boundary value problem / Complex analysis / Microlocal analysis / Painlev/e equations / Algebraic analysis / Calculus / Convolution / Differential equation / Exact WKB analysis / Exponential asymptotics / Integral transform / Logarithm / Mathematical physics / Partia / Ordinary differential equations / Partial differential equations