Generalized Functions: Applications of Harmonic Analysis - Softcover

Gel'fand, I. M.

Softcover

ISBN 10: 148325299X ISBN 13: 9781483252995

Publisher: Academic Press, 2015

Synopsis

Generalized Functions, Volume 4: Applications of Harmonic Analysis is devoted to two general topics-developments in the theory of linear topological spaces and construction of harmonic analysis in n-dimensional Euclidean and infinite-dimensional spaces. This volume specifically discusses the bilinear functionals on countably normed spaces, Hilbert-Schmidt operators, and spectral analysis of operators in rigged Hilbert spaces. The general form of positive generalized functions on the space S, continuous positive-definite functions, and conditionally positive generalized functions are also deliberated. This publication likewise considers the mean of a generalized random process, multidimensional generalized random fields, simplest properties of cylinder sets, and definition of Gaussian measures. This book is beneficial to students, specialists, and researchers aiming to acquire knowledge of functional analysis.

Edition details

• Publisher: Academic Press
• Publication date: 2015
• ISBN 10: 148325299X
• ISBN 13: 9781483252995
• Binding: Paperback
• Language: English
• Number of pages: 398