Hardcover ISBN:  9780821845714 
Product Code:  MMONO/129 
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eBook ISBN:  9781470445379 
Product Code:  MMONO/129.E 
List Price:  $155.00 
MAA Member Price:  $139.50 
AMS Member Price:  $124.00 
Hardcover ISBN:  9780821845714 
eBook: ISBN:  9781470445379 
Product Code:  MMONO/129.B 
List Price:  $320.00 $242.50 
MAA Member Price:  $288.00 $218.25 
AMS Member Price:  $256.00 $194.00 
Hardcover ISBN:  9780821845714 
Product Code:  MMONO/129 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
eBook ISBN:  9781470445379 
Product Code:  MMONO/129.E 
List Price:  $155.00 
MAA Member Price:  $139.50 
AMS Member Price:  $124.00 
Hardcover ISBN:  9780821845714 
eBook ISBN:  9781470445379 
Product Code:  MMONO/129.B 
List Price:  $320.00 $242.50 
MAA Member Price:  $288.00 $218.25 
AMS Member Price:  $256.00 $194.00 

Book DetailsTranslations of Mathematical MonographsVolume: 129; 1993; 273 ppMSC: Primary 46; Secondary 32; 58
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 Smatrices. 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.
ReadershipGraduate students and research mathematicians.

Table of Contents

Chapters

Chapter 1. Fundamental properties of holomorphic functions

Chapter 2. Analytic functionals of one variable

Chapter 3. Hyperfunctions of one variable

Chapter 4. Cohomology groups with coefficients in a sheaf

Chapter 5. Cohomology groups with coefficients in ($\mathcal O$)

Chapter 6. Analytic functionals of several variables

Chapter 7. Hyperfunctions of several variables

Chapter 8. Microfunctions

Chapter 9. Development of hyperfunction theory


Reviews

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


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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 Smatrices. 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.
Graduate students and research mathematicians.

Chapters

Chapter 1. Fundamental properties of holomorphic functions

Chapter 2. Analytic functionals of one variable

Chapter 3. Hyperfunctions of one variable

Chapter 4. Cohomology groups with coefficients in a sheaf

Chapter 5. Cohomology groups with coefficients in ($\mathcal O$)

Chapter 6. Analytic functionals of several variables

Chapter 7. Hyperfunctions of several variables

Chapter 8. Microfunctions

Chapter 9. Development of hyperfunction theory

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