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An Introduction to Sato’s Hyperfunctions
 
Mitsuo Morimoto Sophia University, Tokyo, Japan
An Introduction to Sato's Hyperfunctions
Hardcover ISBN:  978-0-8218-4571-4
Product Code:  MMONO/129
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4537-9
Product Code:  MMONO/129.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4571-4
eBook: ISBN:  978-1-4704-4537-9
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
An Introduction to Sato's Hyperfunctions
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An Introduction to Sato’s Hyperfunctions
Mitsuo Morimoto Sophia University, Tokyo, Japan
Hardcover ISBN:  978-0-8218-4571-4
Product Code:  MMONO/129
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4537-9
Product Code:  MMONO/129.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4571-4
eBook ISBN:  978-1-4704-4537-9
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 Details
     
     
    Translations of Mathematical Monographs
    Volume: 1291993; 273 pp
    MSC: 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 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.

  • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1291993; 273 pp
MSC: 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 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.

  • 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.