1993; 273 pp; Hardcover
MSC: Primary 46; Secondary 32; 58
Print ISBN: 978-0-8218-4571-4
Product Code: MMONO/129
List Price: $126.00
AMS Member Price: $100.80
MAA Member Price: $113.40
Electronic ISBN: 978-1-4704-4537-9
Product Code: MMONO/129.E
List Price: $118.00
AMS Member Price: $94.40
MAA Member Price: $106.20
An Introduction to Sato’s Hyperfunctions
Share this pageMitsuo Morimoto
This book is a translation, with corrections and an updated bibliography, of Morimoto's 1976 book on the theory of hyperfunctions originally written in Japanese. Since the time that Sato established the theory of hyperfunctions, there have been many important applications to such areas as pseudodifferential operators and S-matrices. Assuming as little background as possible on the part of the reader, Morimoto covers the basic notions of the theory, from hyperfunctions of one variable to Sato's fundamental theorem. This book provides an excellent introduction to this important field of research.
Readership
Graduate students and research mathematicians.
Reviews & Endorsements
Many concrete examples illustrate the theory and make the book a valuable text for beginners.
-- Zentralblatt MATH
Morimoto's classical approach is … valuable … as a necessary complement to more abstract presentations of the subject
-- Mathematical Reviews
Table of Contents
Table of Contents
An Introduction to Sato's Hyperfunctions
- Cover Cover11
- Title page iii4
- Contents v6
- Preface to the English edition ix10
- Preface to the Japanese edition xi12
- Chapter 1. Fundamental properties of holomorphic functions 114
- Chapter 2. Analytic functionals of one variable 2336
- Chapter 3. Hyperfunctions of one variable 4154
- Chapter 4. Cohomology groups with coefficients in a sheaf 6982
- Chapter 5. Cohomology groups with coefficients in (𝒪) 109122
- Chapter 6. Analytic functionals of several variables 129142
- Chapter 7. Hyperfunctions of several variables 155168
- Chapter 8. Microfunctions 177190
- Chapter 9. Development of hyperfunction theory 211224
- Appendix A. Linear topological spaces 239252
- Appendix B. Rudiments of homological algebra 257270
- Appendix C. Bibliographical notes 261274
- Bibliography 265278
- Subject index 269282
- Back Cover Back Cover1289