Algebraic Analysis
Papers Dedicated to Professor Mikio Sato on the Occasion of His Sixtieth Birthday
Published on 10. May 2014
500 pages
978-1-4832-6794-4 (ISBN)
Description
Algebraic Analysis: Papers Dedicated to Professor Mikio Sato on the Occasion of his 60th Birthday, Volume II is a collection of research papers on algebraic analysis and related topics in honor to Professor Mikio Sato's 60th birthday. This volume is divided into 29 chapters and starts with research works concerning the fundamentals of KP equations, strings, Schottky problem, and the applications of transformation theory for nonlinear integrable systems to linear prediction problems and isospectral deformations,. The subsequent chapters contain papers on the approach to nonlinear integrable systems, the Hodge numbers, the stochastic different equation for the multi-dimensional weakly stationary process, and a method of harmonic analysis on semisimple symmetric spaces. These topics are followed by studies on the quantization of extended vortices, moduli space for Fuchsian groups, microfunctions for boundary value problems, and the issues of multi-dimensional integrable systems. The remaining chapters explore the practical aspects of pseudodifferential operators in hyperfunction theory, the elliptic solitons, and Carlson's theorem for holomorphic functions. This book will prove useful to mathematicians and advance mathematics students.
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Masaki Kashiwara | Tadahiko Kawai
Prospect of Algebraic Analysis: v. 2
Papers Dedicated to Professor Mikio Sato
Book
01/1988
Academic Press
€92.24
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Content
Contents of Volume IContributorsKP Equations, Strings, and the Schottky ProblemA Note on the Holonomic System of Invariant Hyperfunctions on a Certain Prehomogeneous Vector SpaceApplications of Transformation Theory for Nonlinear Integrable Systems to Linear Prediction Problems and Isospectral DeformationsNew Local Supersymmetry in the Framework of Einstein GravityK3 Surfaces Related to Root Systems in E8Wronskian Determinants and the Gröbner Representation of a Linear Differential Equation: An Approach to Nonlinear Integrable SystemsHigher Codimensional Boundary Value Problem and F-Mild HyperfunctionsHodge Numbers of a Kummer Covering of P2 Ramified Along a Line ConfigurationOn a Stochastic Difference Equation for the Multi-Dimensional Weakly Stationary Process with Discrete TimeBäcklund Transformations of Classical Orthogonal PolynomialsA Deformation of Dirichlet's Class Number FormulaA Method of Harmonic Analysis on Semisimple Symmetric SpacesA Note on Ehrenpreis' Fundamental Principle on a Symmetric SpaceResurgence, Quantized Canonical Transformations, and Multi-Instanton ExpansionsQuantization of Extended Vortices and sDiff R3Moduli Space for Fuchsian GroupsThe Hamburger Theorem for the Epstein Zeta FunctionsMicrofunctions for Boundary Value ProblemsRegularization of the Product of Complex Powers of Polynomials and its ApplicationOn the Local Solvability of Fuchsian Type Partial Differential Equations¿-b-Cohomology and the Bochner-Martinelli KernelIssues of Multi-Dimensional Integrable SystemsSecond Microlocalization and Conical Refraction (II)Pseudodifferential Operators in Hyperfunction TheorySome Observations on Geometric Representations of the Superconformal Algebras and a Super Analogue of the Mumford SheavesNew Elliptic SolitonsOn the Microlocal Smoothing Effect of Dispersive Partial Differential Equations, I: Second-Order Linear EquationsLocally Prehomogeneous Spaces and their Transverse LocalizationsOn Carlson's Theorem for Holomorphic Functions
