Generalized functions. Volume 1, Properties and operations /

Bibliographic Details
Main Authors:	Gelʹfand, I. M. (Izrailʹ Moiseevich) (Author), Shilov, G. E. (Georgiĭ Evgenʹevich) (Author)
Corporate Author:	ScienceDirect (Online service)
Other Authors:	Saletan, Eugene J. (Eugene Jerome), 1924- (Translator)
Format:	eBook
Language:	English
Language Notes:	Translation of: Obobshchennye funktsii, vypusk 1, Deistviya nad nimi, Moscow, 1958.
Published:	New York : Academic Press Inc., [1964]
Subjects:	Theory of distributions (Functional analysis) Functional analysis. Théorie des distributions (Analyse fonctionnelle) Analyse fonctionnelle. MATHEMATICS > Calculus. MATHEMATICS > Mathematical Analysis. Functional analysis Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Front Cover; Properties and Operations; Copyright Page; Translator's Note; Foreword to the First Russian Edition; Foreword to the Second Russian Edition; Table of Contents; Chapter I. Definition and Simplest Properties of Generalized Functions; 1. Test Functions and Generalized Functions; 2. Differentiation and Integration of Generalized Functions; 3. Regularization of Functions with Algebraic Singularities; 4. Associate Functions; 5. Convolutions of Generalized Functions; 6. Elementary Solutions of Differential Equations with Constant Coefficients
Appendix 1. Local Properties of Generalized FunctionsAppendix 2. Generalized Functions Depending on a Parameter; Chapter II. Fourier Transforms of Generalized Functions; 1. Fourier Transforms of Test Functions; 2. Fourier Transforms of Generalized Functions. A Single Variable; 3. Fourier Transforms of Generalized Functions. Several Variables; 4. Fourier Transforms and Differential Equations; Chapter III. Particular Types of Generalized Functions; 1. Generalized Functions Concentrated on Smooth Manifolds of Lower Dimension; 2. Generalized Functions Associated with Quadratic Forms