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Distributions by Jacques Simon is a nonfiction available to read on EtoBox.

What is Distributions about?

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. This book is the third of seven volumes dedicated to solving partial dif- ferential equations in physics: Volume 1: Banach, Frechet, Hilbert and Neumann Spaces Volume 2: Continuous Functions Volume 3: Distributions Volume 4: Integration Volume 5: Sobolev Spaces Volume 6: Traces Volume 7: Partial Differential E

Who reads Distributions?

Author

Jacques Simon

Publisher

Wiley-Iste

Published

2022

Language

EN

ISBN

9781394165353

Category

nonfiction

Subjects

Mathematics, Stem