LEADER 02426nam 2200481 450 001 9910830676703321 005 20230108211210.0 010 $a1-394-16536-6 010 $a1-394-16534-X 035 $a(MiAaPQ)EBC7070188 035 $a(Au-PeEL)EBL7070188 035 $a(CKB)24352763600041 035 $a(OCoLC)1340403704 035 $a(OCoLC-P)1340403704 035 $a(CaSebORM)9781786305251 035 $a(EXLCZ)9924352763600041 100 $a20230108d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDistributions /$fJacques Simon 210 1$aHoboken, NJ :$cJohn Wiley & Sons, Inc.,$d[2022] 210 4$dİ2022 215 $a1 online resource (408 pages) 225 1 $aMathematics and statistics series. Analysis for PDEs set ;$vvolume 3 311 08$aPrint version: Simon, Jacques Distributions Newark : John Wiley & Sons, Incorporated,c2022 9781786305251 320 $aIncludes bibliographical references and index. 330 $aThis book presents a simple and original theory of distributions, both real and vector, adapted to the study of partial differential equations. It deals with value distributions in a Neumann space, that is, in which any Cauchy suite converges, which encompasses the Banach and Fr?chet spaces and the same "weak" spaces. Alongside the usual operations - derivation, product, variable change, variable separation, restriction, extension and regularization - Distributions presents a new operation: weighting. This operation produces properties similar to those of convolution for distributions defined in any open space. Emphasis is placed on the extraction of convergent sub-sequences, the existence and study of primitives and the representation by gradient or by derivatives of continuous functions. Constructive methods are used to make these tools accessible to students and engineers. 410 0$aMathematics and statistics series (ISTE) 410 0$aAnalysis for PDEs set ;$vv. 3. 606 $aTheory of distributions (Functional analysis) 615 0$aTheory of distributions (Functional analysis) 676 $a515.782 700 $aSimon$b Jacques$0342532 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910830676703321 996 $aDistributions$94020358 997 $aUNINA