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Selfadjoint Operators in Spaces of Functions of Infinitely Many Variables

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Hardcover ISBN: 978-0-8218-4515-8
Product Code: MMONO/63
List Price: $135.00 MAA Member Price:$121.50
AMS Member Price: $108.00 Electronic ISBN: 978-1-4704-4477-8 Product Code: MMONO/63.E List Price:$135.00
MAA Member Price: $121.50 AMS Member Price:$108.00
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AMS Member Price: $162.00 Click above image for expanded view Selfadjoint Operators in Spaces of Functions of Infinitely Many Variables Available Formats:  Hardcover ISBN: 978-0-8218-4515-8 Product Code: MMONO/63  List Price:$135.00 MAA Member Price: $121.50 AMS Member Price:$108.00
 Electronic ISBN: 978-1-4704-4477-8 Product Code: MMONO/63.E
 List Price: $135.00 MAA Member Price:$121.50 AMS Member Price: $108.00 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$202.50 MAA Member Price: $182.25 AMS Member Price:$162.00
• 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.

• 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
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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
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