Distributions

By Jacques Simon

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 Fr?chet 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.

• Format: Hardcover
• Language: English
• ISBN: 1786305259
• ISBN13: 9781786305251
• Release Date: September 2022
• Publisher: Wiley-Iste
• Length: 416 Pages
• Weight: 1.63 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"