## Browse content

### Table of contents

#### Actions for selected chapters

- Full text access
- Book chapterNo access
#### Introduction

Pages 1-7 - Book chapterNo access
#### Three Personal Reminiscences

S. Iyanaga

Pages 9-11 - Book chapterNo access
#### Mikio Sato: Impressions

Gian-Carlo Rota

Pages 13-15 - Book chapterNo access
#### Sato, a Perfectionist

Kôsaku Yosida

Pages 17-18 - Book chapterAbstract only
#### Existence of Local Holomorphic Solutions of Differential Equations of Infinite Order

Takashi Aoki

Pages 19-24 - Book chapterAbstract only
#### A Note on Holonomic

*q*- Difference SystemsK. Aomoto

Pages 25-28 - Book chapterAbstract only
#### Solvable Models in Statistical Mechanics and Riemann Surfaces of Genus Greater than One

Helen Au-Yang, Barry M. McCoy, ... Shuang Tang

Pages 29-39 - Book chapterAbstract only
#### Linearization and Singular Partial Differential Equations

Gunter Bengel

Pages 41-47 - Book chapterAbstract only
#### On the Notions of Scattering State, Potential and Wave-Function in Quantum Field Theory: An Analytic-Functional Viewpoint

J. Bros

Pages 49-73 - Book chapterAbstract only
#### Two Remarks on Recent Developments in Solvable Models

Etsuro Date, Michio Jimbo, ... Masato Okado

Pages 75-84 - Book chapterAbstract only
#### Hypergeometric Functions

Leon Ehrenpreis

Pages 85-128 - Book chapterAbstract only
#### Quantization of Lie Groups and Lie Algebras

L.D. Faddeev, N.Yu. Reshetikhin and L.A. Takhtajan

Pages 129-139 - Book chapterAbstract only
#### The Toda Lattice in the Complex Domain

H. Flaschka

Pages 141-154 - Book chapterAbstract only
#### Zoll Phenomena in (2 + 1) Dimensions

Victor Guillemin

Pages 155-169 - Book chapterAbstract only
#### A Proof of the Bott Inequalities

B. Helffer and J. Sjöstrand

Pages 171-183 - Book chapterAbstract only
#### What is the Notion of a Complex Manifold with a Smooth Boundary?

C. Denson Hill

Pages 185-201 - Book chapterAbstract only
#### Toda Molecule Equations

Ryogo Hirota

Pages 203-216 - Book chapterAbstract only
#### Microlocal Analysis and Scattering in Quantum Field Theories

D. lagolnitzer

Pages 217-230 - Book chapterAbstract only
*b*-Functions and*p*-adic IntegralsJun-ichi Igusa

Pages 231-241 - Book chapterAbstract only
#### On the Poles of the Scattering Matrix for Several Convex Bodies

Mitsuru Ikawa

Pages 243-251 - Book chapterAbstract only
#### Symmetric Tensors of the Family

Michio Jimbo, Tetsuji Miwa and Masato Okado

Pages 253-266 - Book chapterAbstract only
#### On Hyperfunctions with Analytic Parameters

Akira Kaneko

Pages 267-276 - Book chapterAbstract only
#### The Invariant Holonomic System on a Semisimple Lie Group

Masaki Kashiwara

Pages 277-286 - Book chapterAbstract only
#### Some Applications of Microlocal Energy Methods to Analytic Hypoellipticity

Kiyômi Kataoka

Pages 287-303 - Book chapterAbstract only
#### A Proof of the Transformation Formula of the Theta-Functions

Yukiyosi Kawada

Pages 305-308 - Book chapterAbstract only
#### Microlocal Analysis of Infrared Singularities

Takahiro Kawai and Henry P. Stapp

Pages 309-330 - Book chapterAbstract only
#### On the Global Existence of Real Analytic Solutions of Systems of Linear Differential Equations

Takahiro Kawai and Yoshitsugu Takei

Pages 331-344 - Book chapterAbstract only
#### Complex Powers on

*p*-adic Fields and a Resolution of SingularitiesTatsuo Kimura

Pages 345-355 - Book chapterAbstract only
#### Operational Calculus, Hyperfunctions and Ultradistributions

Hikosaburo Komatsu

Pages 357-372 - Book chapterAbstract only
#### On a Conjectural Equation of Certain Kinds of Surfaces

Michio Kuga

Pages 373-379 - Book chapterAbstract only
#### Vanishing Cycles and Second Microlocalization

Yves Laurent

Pages 381-391 - Book chapterAbstract only
#### Extensions of Microfunction Sheaves up to the Boundary

J.-L. Lieutenant

Pages 393-401 - Book chapterAbstract only
#### Extension of Holonomic -modules

B. Malgrange

Pages 403-411 - Book chapterAbstract only
#### On the Irregularity of the Holonomic Modules

Z. Mebkhout

Pages 413-421 - Book chapterAbstract only
#### An Error Analysis of Quadrature Formulas Obtained by Variable Transformation

Masatake Mori

Pages 423-437 - Book chapterAbstract only
#### Analytic Functionals on the Complex Light Cone and Their Fourier-Borel Transformations

Mitsuo Morimoto and Ryoko Wada

Pages 439-455 - Book chapterAbstract only
#### A

*p*-adic Theory of Hyperfunctions, IIYasuo Morita

Pages 457-472

## About the book

### Description

Algebraic Analysis: Papers Dedicated to Professor Mikio Sato on the Occasion of his 60th Birthday, Volume I is a collection of research papers on algebraic analysis and related topics in honor to Professor Mikio Sato’s 60th birthday. This volume is composed of 35 chapters and begins with papers concerning Sato’s early career in algebraic analysis. The succeeding chapters deal with research works on the existence of local holomorphic solutions, the holonomic q-difference systems, partial differential equations, and the properties of solvable models. Other chapters explore the fundamentals of hypergeometric functions, the Toda lattice in the complex domain, the Lie algebras, b-functions, p-adic integrals, analytic parameters of hyperfunctions, and some applicatioins of microlocal energy methods to analytic hypoeellipticity. This volume also presents studies on the complex powers of p-adic fields, operational calculus, extensions of microfunction sheaves up to the boundary, and the irregularity of holonomic modules. The last chapters feature research works on error analysis of quadrature formulas obtained by variable transformation and the analytic functional on the complex light cone, as well as their Fourier-Borel transformations. This book will prove useful to mathematicians and advance mathematics students.

Algebraic Analysis: Papers Dedicated to Professor Mikio Sato on the Occasion of his 60th Birthday, Volume I is a collection of research papers on algebraic analysis and related topics in honor to Professor Mikio Sato’s 60th birthday. This volume is composed of 35 chapters and begins with papers concerning Sato’s early career in algebraic analysis. The succeeding chapters deal with research works on the existence of local holomorphic solutions, the holonomic q-difference systems, partial differential equations, and the properties of solvable models. Other chapters explore the fundamentals of hypergeometric functions, the Toda lattice in the complex domain, the Lie algebras, b-functions, p-adic integrals, analytic parameters of hyperfunctions, and some applicatioins of microlocal energy methods to analytic hypoeellipticity. This volume also presents studies on the complex powers of p-adic fields, operational calculus, extensions of microfunction sheaves up to the boundary, and the irregularity of holonomic modules. The last chapters feature research works on error analysis of quadrature formulas obtained by variable transformation and the analytic functional on the complex light cone, as well as their Fourier-Borel transformations. This book will prove useful to mathematicians and advance mathematics students.

## Details

### ISBN

978-0-12-400465-8

### Language

English

### Published

1988

### Copyright

Copyright © 1988 Elsevier Inc. All rights reserved.

### Imprint

Academic Press