LEADER 03046nam 2200601 450 001 996466655403316 005 20220821200921.0 010 $a3-540-44662-1 024 7 $a10.1007/BFb0096328 035 $a(CKB)1000000000437210 035 $a(SSID)ssj0000324153 035 $a(PQKBManifestationID)12106224 035 $a(PQKBTitleCode)TC0000324153 035 $a(PQKBWorkID)10305290 035 $a(PQKB)10777437 035 $a(DE-He213)978-3-540-44662-0 035 $a(MiAaPQ)EBC5585780 035 $a(Au-PeEL)EBL5585780 035 $a(OCoLC)1066188290 035 $a(MiAaPQ)EBC6819077 035 $a(Au-PeEL)EBL6819077 035 $a(OCoLC)1159611150 035 $a(PPN)155198394 035 $a(EXLCZ)991000000000437210 100 $a20220821d1995 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 13$aAn introduction to analysis on Wiener space /$fAli Su?leyman Ustu?nel 205 $a1st ed. 1995. 210 1$aBerlin :$cSpringer,$d[1995] 210 4$dİ1995 215 $a1 online resource (X, 102 p.) 225 1 $aLecture notes in mathematics (Springer-Verlag) ;$v1610 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-60170-8 320 $aIncludes bibliographical references and index. 327 $aPreliminaries -- Gross-Sobolev derivative, divergence and Ornstein-Uhlenbeck operator -- Meyer inequalities -- Hypercontractivity -- L p -multipliers theorem, meyer inequalities and distributions -- Some applications of the distributions -- Positive distributions and applications -- Characterization of independence of some Wiener functionals -- Moment inequalities for Wiener functional -- to the theorem of Ramer. 330 $aThis book gives the basis of the probabilistic functional analysis on Wiener space, developed during the last decade. The subject has progressed considerably in recent years thr- ough its links with QFT and the impact of Stochastic Calcu- lus of Variations of P. Malliavin. Although the latter deals essentially with the regularity of the laws of random varia- bles defined on the Wiener space, the book focuses on quite different subjects, i.e. independence, Ramer's theorem, etc. First year graduate level in functional analysis and theory of stochastic processes is required (stochastic integration with respect to Brownian motion, Ito formula etc). It can be taught as a 1-semester course as it is, or in 2 semesters adding preliminaries from the theory of stochastic processes It is a user-friendly introduction to Malliavin calculus! 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1610. 606 $aMalliavin calculus 615 0$aMalliavin calculus. 676 $a519.2 700 $aUstunel$b A. S$g(Ali Su?leyman),$061029 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466655403316 996 $aIntroduction to analysis on Wiener space$978089 997 $aUNISA