Algebraic Analysis. Papers Dedicated to Professor Mikio Sato on the Occasion of his Sixtieth Birthday, Volume 2

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. Content: Inside Front Cover, Page ii Front Matter, Page iii Copyright, Page iv Dedication, Page v VOLUME EDITORS, Page vi Contents of Volume I, Pages xi-xiii Contributors, Pages xv-xxi KP Equations, Strings, and the Schottky Problem, Pages 473-492, Motohico Mulase A Note on the Holonomic System of Invariant Hyperfunctions on a Certain Prehomogeneous Vector Space, Pages 493-503, Masakazu Muro Applications of Transformation Theory for Nonlinear Integrable Systems to Linear Prediction Problems and Isospectral Deformations, Pages 505-515, Yoshimasa Nakamura New Local Supersymmetry in the Framework of Einstein Gravity, Pages 517-526, Noboru Nakanishi K3 Surfaces Related to Root Systems in E8, Pages 527-548, Isao Naruki Wronskian Determinants and the Gröbner Representation of a Linear Differential Equation: An Approach to Nonlinear Integrable Systems, Pages 549-569, Masatoshi Noumi Higher-Codimensional Boundary Value Problem and F-Mild Hyperfunctions, Pages 571-586, Toshinori ôaku Hodge Numbers of a Kummer Covering of P2 Ramified along a Line Configuration, Pages 587-599, Takayuki Oda On a Stochastic Difference Equation for the Multi-Dimensional Weakly Stationary Process with Discrete Time, Pages 601-645, Yasunori Okabe Bäcklund Transformations of Classical Orthogonal Polynomials, Pages 647-657, Kazuo Okamoto A Deformation of Dirichlet's Class Number Formula, Pages 659-666, Takashi Ono A Method of Harmonic Analysis on Semisimple Symmetric Spaces, Pages 667-680, Toshio Oshima A Note on Ehrenpreis' Fundamental Principle on a Symmetric Space, Pages 681-697, Toshio Oshima, Yutaka Saburi, Masato Wakayama Resurgence, Quantized Canonical Transformations, and Multi-lnstanton Expansions, Pages 699-726, F. Pham Quantization of Extended Vortices and sDiff R3, Pages 727-734, Mario Rasetti, Tullio Regge Moduli Space for Fuchsian Groups, Pages 735-787, Kyoji Saito The Hamburger Theorem for the Epstein Zeta Functions, Pages 789-807, Fumihiro Sato Microfunctions for Boundary Value Problems, Pages 809-819, Pierre Schapira Regularization of the Product of Complex Powers of Polynomials and Its Application, Pages 821-836, Jiro Sekiguchi On the Local Solvability of Fuchsian Type Partial Differential Equations, Pages 837-848, Hidetoshi Tahara -Cohomology and the Bochner—Martinelli Kernel, Pages 849-852, Shinichi Tajima Issues of Multi-Dimensional Integrable Systems, Pages 853-865, K. Takasaki Second Microlocalization and Conical Refraction (II), Pages 867-882, Nobuyuki Tose Pseudodifferential Operators in Hyperfunction Theory, Pages 883-892, Keisuke Uchikoshi Some Observations on Geometric Representations of the Superconformal Algebras and a Super Analogue of the Mumford Sheaves, Pages 893-900, Kimio Ueno, Hirofumi Yamada New Elliptic Solitons, Pages 901-910, J.-L. Verdier On the Microlocal Smoothing Effect of Dispersive Partial Differential Equations, I: Second-Order Linear Equations, Pages 911-926, Masao Yamazaki Locally Prehomogeneous Spaces and Their Transverse Localizations, Pages 927-942, Tamaki Yano On Carlson's Theorem for Holomorphic Functions, Pages 943-950, Kunio Yoshino