02426nam 2200481 450 991083067670332120230108211210.01-394-16536-61-394-16534-X(MiAaPQ)EBC7070188(Au-PeEL)EBL7070188(CKB)24352763600041(OCoLC)1340403704(OCoLC-P)1340403704(CaSebORM)9781786305251(EXLCZ)992435276360004120230108d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDistributions /Jacques SimonHoboken, NJ :John Wiley & Sons, Inc.,[2022]©20221 online resource (408 pages)Mathematics and statistics series. Analysis for PDEs set ;volume 3Print version: Simon, Jacques Distributions Newark : John Wiley & Sons, Incorporated,c2022 9781786305251 Includes bibliographical references and index.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 Fřchet 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.Mathematics and statistics series (ISTE)Analysis for PDEs set ;v. 3.Theory of distributions (Functional analysis)Theory of distributions (Functional analysis)515.782Simon Jacques342532MiAaPQMiAaPQMiAaPQBOOK9910830676703321Distributions4020358UNINA