LEADER 03853nam 2200661 450 001 9910788664103321 005 20220902080615.0 010 $a0-8218-7907-3 010 $a0-8218-5653-7 035 $a(CKB)3240000000069843 035 $a(EBL)3113323 035 $a(SSID)ssj0000850329 035 $a(PQKBManifestationID)11494588 035 $a(PQKBTitleCode)TC0000850329 035 $a(PQKBWorkID)10832696 035 $a(PQKB)10479686 035 $a(MiAaPQ)EBC3113323 035 $a(WaSeSS)Ind00039481 035 $a(RPAM)13001365 035 $a(PPN)197106455 035 $a(EXLCZ)993240000000069843 100 $a20021114h20032003 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFinite and infinite dimensional analysis in honor of Leonard Gross $eAMS Special Session, Analysis on Infinite Dimensional Spaces, January 12-13, 2001, New Orleans, Louisiana /$fHui-Hsiung Kuo, Ambar N. Sengupta, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2003] 210 4$dİ2003 215 $a1 online resource (242 p.) 225 1 $aContemporary mathematics,$x0271-4132 ;$v317 300 $aDescription based upon print version of record. 311 $a0-8218-3202-6 320 $aIncludes bibliographical references. 327 $aContents -- Preface -- Speakers -- Ph.D. students of L. Gross -- Meixner classes and the square of white noise -- Strong Feller properties for distorted Brownian motion and applications to finite particle systems with singular interactions -- 1. Introduction -- 2. An elliptic regularity result and its consequences -- 3. Construction of the semigroup and resolvent of kernels -- 4. Construction of the associated diffusion process -- 5. Solution to the stochastic equation -- 6. Applications to stochastic dynamics -- Acknowledgement -- References -- Market price of risk and random field driven models of term structure: A space-time change of measure look -- Gaussian and Poisson white noises with related characterization theorems -- Analysis of Wiener measure on path and loop groups -- Stochastic differential equations on noncommutative L2 -- 1. Introduction -- 2. Noncommutative Lp spaces -- 3. Preliminary remarks -- 4. Stochastic differential equations -- 5. Kolmogorov's backward equation -- References -- The Segal-Bargmann transform and the Gross ergodicity theorem -- Sharp bounds for the heat kernel on certain symmetric spaces of non-compact type -- Laplacians in white noise analysis -- On Dirichlet spaces over convex sets in infinite dimensions -- Information capacity of quantum channels -- The Riesz representation theorem on infinite dimensional spaces -- Asymptotic behavior in heat kernel analysis on manifolds -- Complex stochastic calculus -- Recent results and open problems in Segal-Bargmann analysis -- A new Heisenberg inequality for white noise analysis. 410 0$aContemporary mathematics (American Mathematical Society).$v317$x0271-4132 606 $aFunctional analysis$vCongresses 606 $aDimensional analysis$vCongresses 606 $aNonlinear functional analysis$vCongresses 606 $aFunction spaces$vCongresses 606 $aQuantum theory$vCongresses 615 0$aFunctional analysis 615 0$aDimensional analysis 615 0$aNonlinear functional analysis 615 0$aFunction spaces 615 0$aQuantum theory 676 $a515/.7 702 $aKuo$b Hui-Hsiung$f1941- 702 $aSengupta$b Ambar$f1963- 702 $aGross$b Leonard 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788664103321 996 $aFinite and infinite dimensional analysis in honor of Leonard Gross$9474676 997 $aUNINA