Distributions
Hardcover/Mathematics 416 pages English Aug 23, 2022
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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.
- Author:
- Jacques Simon
- Publisher:
- Wiley-ISTE
- Publication Date:
- Aug 23, 2022
- Number of pages:
- 416 pages
- Language:
- English
- Binding:
- Hardcover/Mathematics
- ISBN-10:
- 1786305259
- ISBN-13:
- 9781786305251