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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| Format: | eBook |
| Language: | English |
| Published: |
London, UK : Hoboken, NJ, USA :
ISTE Ltd ; John Wiley & Sons, Inc.,
2022.
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| Series: | Mathematics and statistics series (ISTE)
Analysis for PDEs set ; v. 3. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| 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 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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| Physical Description: | 1 online resource. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9781394165346 139416534X 9781394165360 1394165366 |