LEADER 02991nam 2200589 450 001 996466614903316 005 20220221094758.0 010 $a3-540-48814-6 024 7 $a10.1007/BFb0100744 035 $a(CKB)1000000000437309 035 $a(SSID)ssj0000322575 035 $a(PQKBManifestationID)12072435 035 $a(PQKBTitleCode)TC0000322575 035 $a(PQKBWorkID)10283691 035 $a(PQKB)10633647 035 $a(DE-He213)978-3-540-48814-9 035 $a(MiAaPQ)EBC5585318 035 $a(Au-PeEL)EBL5585318 035 $a(OCoLC)1066191013 035 $a(MiAaPQ)EBC6859942 035 $a(Au-PeEL)EBL6859942 035 $a(PPN)155203649 035 $a(EXLCZ)991000000000437309 100 $a20220221d1999 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aDifferentiability of six operators on nonsmooth functions and p-variation /$fby Richard M. Dudley, Rimas Norvais?a 205 $a1st ed. 1999. 210 1$aBerlin ;$aHeidelberg : Springer :$cSpringer,$d[1999] 210 4$dİ1999 215 $a1 online resource (X, 282 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1703 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-65975-7 327 $aA survey on differentiability of six operators in relation to probability and statistics -- Product integrals, young integrals and p-variation -- Differentiability of the composition and quantile operators for regulated and A. E. continuous functions -- Bibliographies on p-variation and ?-variation. 330 $aThe book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with respect to p-variation norms with optimal remainder bounds. Thus the functions as arguments of the operators can be nonsmooth, possibly discontinuous, but four of the six operators turn out to be analytic (holomorphic) for some p-variation norms. The reader will need to know basic real analysis, including Riemann and Lebesgue integration. The book is intended for analysts, statisticians and probabilists. Analysts and statisticians have each studied the differentiability of some of the operators from different viewpoints, and this volume seeks to unify and expand their results. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1703 606 $aOperator theory 615 0$aOperator theory. 676 $a515.724 700 $aDudley$b Richard M.$048562 702 $aNorvais?a$b Rimas$f1956- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466614903316 996 $aDifferentiability of six operators on nonsmooth functions and p-variation$9262450 997 $aUNISA LEADER 01187nam0 22003011i 450 001 UON00333903 005 20231205104231.345 010 $a04-15-04142-2 100 $a20090928d1992 |0itac50 ba 101 $aeng 102 $aUS 105 $a|||| ||||| 200 1 $aMorphology and Mind$eA unified approach to explanation in linguistics$fChristopher J. Hall 210 $aLondon$aNew York$cRoutledge$d1992 215 $aXX, 224 p.$d21 cm. 410 1$1001UON00087236$12001 $aTheoretical linguistics$1210 $aLondon and New York$cRoutledge. 606 $aMORFOLOGIA (Grammatica)$3UONC042676$2FI 620 $aUS$dNew York$3UONL000050 620 $aGB$dLondon$3UONL003044 676 $a401.4$cLinguaggio e comunicazione$v21 700 1$aHALL$bChristopher J.$3UONV189404$0701495 712 $aRoutledge$3UONV248939$4650 801 $aIT$bSOL$c20240220$gRICA 899 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$2UONSI 912 $aUON00333903 950 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$dSI Ling 23 030 $eSI LO 52666 5 030 996 $aMorphology and Mind$91365364 997 $aUNIOR