Selfadjoint Operators in Spaces of Functions of Infinitely Many Variables

Selfadjoint Operators in Spaces of Functions of Infinitely Many Variables

Author
Yu. M. Berezanskii
Publisher
American Mathematical Society
Language
English
Year
1986
Page
438
ISBN
0821845152,9780821845158
File Type
pdf
File Size
98.5 MiB

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.

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