Distributions / Jacques Simon.

Format:

Book

Author/Creator:

Simon, Jacques, author.

Series:

Mathematics and statistics series (ISTE)

Analysis for PDEs set ; v. 3.

Mathematics and statistics series. Analysis for PDEs set ; volume 3

Language:

English

Subjects (All):

Theory of distributions (Functional analysis).

Physical Description:

1 online resource (408 pages)

Place of Publication:

Hoboken, NJ : John Wiley & Sons, Inc., [2022]

Summary:

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 Fřchet 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.

Notes:

Description based on print version record.

Includes bibliographical references and index.

Other Format:

Print version: Simon, Jacques Distributions

ISBN:

9781394165360

1394165366

9781394165346

139416534X

OCLC:

1340403704