Algebraic Analysis

Papers Dedicated to Professor Mikio Sato on the Occasion of His Sixtieth Birthday

Masaki Kashiwara, Takahiro Kawai

• Publisher: Academic Press
• Year: 2014
• Print ISBN: 9780124004665
• eBook ISBN: 9781483267944
• Topic: Mathematics
• Subtopic: Calculus
• Index: Mathematics

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.

Table of contents

• Front Cover
• Algebraic Analysis: Papers Dedicated to Professor Mikio Sato on the Occasion of His Sixtieth Birthday
• Copyright Page
• Table of Contents
• Dedication
• VOLUME EDITORS
• Contents of Volume I
• Contributors
• Chapter 1. KP Equations, Strings, and the Schottky Problem
• Chapter 2. A Note on the Holonomic System of Invariant Hyperfunctions on a Certain Prehomogeneous Vector Space
• Chapter 3. Applications of Transformation Theory for Nonlinear Integrable Systems to Linear Prediction Problems and Isospectral Deformations
• Chapter 4. New Local Supersymmetry in the Framework of Einstein Gravity
• Chapter 5. K3 Surfaces Related to Root Systems in E8
• Chapter 6. Wronskian Determinants and the Gröbner Representation of a Linear Differential Equation: An Approach to Nonlinear Integrable Systems
• Chapter 7. Higher-Codimensional Boundary Value Problem and F-Mild Hyperfunctions
• Chapter 8. Hodge Numbers of a Kummer Covering of P2 Ramified along a Line Configuration
• Chapter 9. On a Stochastic Difference Equation for the Multi-Dimensional Weakly Stationary Process with Discrete Time
• Chapter 10. Bäcklund Transformations of Classical Orthogonal Polynomials
• Chapter 11. A Deformation of Dirichlet's Class Number Formula
• Chapter 12. A Method of Harmonic Analysis on Semisimple Symmetric Spaces
• Chapter 13. A Note on Ehrenpreis' Fundamental Principle on a Symmetric Space
• Chapter 14. Resurgence, Quantized Canonical Transformations, and Multi-lnstanton Expansions
• Chapter 15. Quantization of Extended Vortices and sDiff R
• Chapter 16. Moduli Space for Fuchsian Groups
• Chapter 17. The Hamburger Theorem for the Epstein Zeta Functions
• Chapter 18. Microfunctions for Boundary Value Problems
• Chapter 19. Regularization of the Product of Complex Powers of Polynomials and Its Application
• Chapter 20. On the Local Solvability of Fuchsian Type Partial Differential Equations
• Chapter 21. ∂b-Cohomology and the Bochner-Martinelli Kernel
• Chapter 22. Issues of Multi-Dimensional Integrable Systems
• Chapter 23. Second Microlocalization and Conical Refraction (II)
• Chapter 24. Pseudodifferential Operators in Hyperfunction Theory
• Chapter 25. Some Observations on Geometric Representations of the Superconformal Algebras and a Super Analogue of the Mumford Sheaves
• Chapter 26. New Elliptic Solitons
• Chapter 27. On the Microlocal Smoothing Effect of Dispersive Partial Differential Equations, I: Second-Order Linear Equations
• Chapter 28. Locally Prehomogeneous Spaces and Their Transverse Localizations
• Chapter 29. On Carlson's Theorem for Holomorphic Functions