http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
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
I.M. Gel'fand and G.E. Shilov ; translated by Euene Saletan.
Includes bibliographical references and indexes.
Translation of: Obobshchennye funktsii, vypusk 1, Deistviya nad nimi, Moscow, 1958.
Theory of distributions (Functional analysis)
Théorie des distributions (Analyse fonctionnelle)