03853nam 2200661 450 991078866410332120220902080615.00-8218-7907-30-8218-5653-7(CKB)3240000000069843(EBL)3113323(SSID)ssj0000850329(PQKBManifestationID)11494588(PQKBTitleCode)TC0000850329(PQKBWorkID)10832696(PQKB)10479686(MiAaPQ)EBC3113323(WaSeSS)Ind00039481(RPAM)13001365(PPN)197106455(EXLCZ)99324000000006984320021114h20032003 uy| 0engur|n|---|||||txtccrFinite and infinite dimensional analysis in honor of Leonard Gross AMS Special Session, Analysis on Infinite Dimensional Spaces, January 12-13, 2001, New Orleans, Louisiana /Hui-Hsiung Kuo, Ambar N. Sengupta, editorsProvidence, Rhode Island :American Mathematical Society,[2003]©20031 online resource (242 p.)Contemporary mathematics,0271-4132 ;317Description based upon print version of record.0-8218-3202-6 Includes bibliographical references.Contents -- 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.Contemporary mathematics (American Mathematical Society).3170271-4132Functional analysisCongressesDimensional analysisCongressesNonlinear functional analysisCongressesFunction spacesCongressesQuantum theoryCongressesFunctional analysisDimensional analysisNonlinear functional analysisFunction spacesQuantum theory515/.7Kuo Hui-Hsiung1941-Sengupta Ambar1963-Gross LeonardMiAaPQMiAaPQMiAaPQBOOK9910788664103321Finite and infinite dimensional analysis in honor of Leonard Gross474676UNINA