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 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