Generalized functions. Volume 1, Properties and operations /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Gel�fand, I. M. (Izrail� Moiseevich) (Autor), Shilov, G. E. (Georgi�i Evgen�evich) (Autor)
Otros Autores: Saletan, Eugene J. (Eugene Jerome), 1924- (Traductor)
Formato: Electrónico eBook
Idioma:Inglés
Ruso
Publicado: New York : Academic Press Inc., [1964]
Temas:
Theory of distributions (Functional analysis)
Functional analysis.
Th�eorie des distributions (Analyse fonctionnelle)
Analyse fonctionnelle.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Functional analysis
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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

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