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Distributions /

This book presents a simple and original theory of distributions, both real and vector, adapted to the study of partial differential equations. It deals with value distributions in a Neumann space, that is, in which any Cauchy suite converges, which encompasses the Banach and Fréchet spaces and the...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Simon, Jacques (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London, UK : Hoboken, NJ, USA : ISTE Ltd ; John Wiley & Sons, Inc., 2022.
Colección:Mathematics and statistics series (ISTE)
Analysis for PDEs set ; v. 3.
Temas:
Acceso en línea:Texto completo (Requiere registro previo con correo institucional)

MARC

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520 |a This book presents a simple and original theory of distributions, both real and vector, adapted to the study of partial differential equations. It deals with value distributions in a Neumann space, that is, in which any Cauchy suite converges, which encompasses the Banach and Fréchet spaces and the same "weak" spaces. Alongside the usual operations - derivation, product, variable change, variable separation, restriction, extension and regularization - Distributions presents a new operation: weighting. This operation produces properties similar to those of convolution for distributions defined in any open space. Emphasis is placed on the extraction of convergent sub-sequences, the existence and study of primitives and the representation by gradient or by derivatives of continuous functions. Constructive methods are used to make these tools accessible to students and engineers. 
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