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Selfadjoint Operators in Spaces of Functions of Infinitely Many Variables
 
Selfadjoint Operators in Spaces of Functions of Infinitely Many Variables
Hardcover ISBN:  978-0-8218-4515-8
Product Code:  MMONO/63
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4477-8
Product Code:  MMONO/63.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4515-8
eBook: ISBN:  978-1-4704-4477-8
Product Code:  MMONO/63.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
Selfadjoint Operators in Spaces of Functions of Infinitely Many Variables
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Selfadjoint Operators in Spaces of Functions of Infinitely Many Variables
Hardcover ISBN:  978-0-8218-4515-8
Product Code:  MMONO/63
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4477-8
Product Code:  MMONO/63.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4515-8
eBook ISBN:  978-1-4704-4477-8
Product Code:  MMONO/63.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: 631986; 438 pp
    MSC: Primary 47; Secondary 35; 46; 60; 81;

    Questions in the spectral theory of selfadjoint and normal operators acting in spaces of functions of infinitely many variables are studied in this book, and, in particular, the theory of expansions in generalized eigenfunctions of such operators. Both individual operators and arbitrary commuting families of them are considered. A theory of generalized functions of infinitely many variables is constructed. The circle of questions presented has evolved in recent years, especially in connection with problems in quantum field theory. This book will be useful to mathematicians and physicists interested in the indicated questions, as well as to graduate students and students in advanced university courses.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Spaces of Generalized Functions
    • General Selfadjoint and Normal Operators
    • Some Classes of Operators Acting in a Space of Functions of Infinitely Many Variables
  • 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: 631986; 438 pp
MSC: Primary 47; Secondary 35; 46; 60; 81;

Questions in the spectral theory of selfadjoint and normal operators acting in spaces of functions of infinitely many variables are studied in this book, and, in particular, the theory of expansions in generalized eigenfunctions of such operators. Both individual operators and arbitrary commuting families of them are considered. A theory of generalized functions of infinitely many variables is constructed. The circle of questions presented has evolved in recent years, especially in connection with problems in quantum field theory. This book will be useful to mathematicians and physicists interested in the indicated questions, as well as to graduate students and students in advanced university courses.

  • Chapters
  • Introduction
  • Spaces of Generalized Functions
  • General Selfadjoint and Normal Operators
  • Some Classes of Operators Acting in a Space of Functions of Infinitely Many Variables
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.