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Finite and Infinite Dimensional Analysis in Honor of Leonard Gross
 
Edited by: Hui-Hsiung Kuo Louisiana State University, Baton Rouge, LA
Ambar N. Sengupta Louisiana State University, Baton Rouge, LA
Finite and Infinite Dimensional Analysis in Honor of Leonard Gross
Softcover ISBN:  978-0-8218-3202-8
Product Code:  CONM/317
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7907-8
Product Code:  CONM/317.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3202-8
eBook: ISBN:  978-0-8218-7907-8
Product Code:  CONM/317.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Finite and Infinite Dimensional Analysis in Honor of Leonard Gross
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Finite and Infinite Dimensional Analysis in Honor of Leonard Gross
Edited by: Hui-Hsiung Kuo Louisiana State University, Baton Rouge, LA
Ambar N. Sengupta Louisiana State University, Baton Rouge, LA
Softcover ISBN:  978-0-8218-3202-8
Product Code:  CONM/317
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7907-8
Product Code:  CONM/317.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3202-8
eBook ISBN:  978-0-8218-7907-8
Product Code:  CONM/317.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3172003; 224 pp
    MSC: Primary 60; 28; 46; 58; 31; 62; 81;

    This book contains the proceedings of the special session in honor of Leonard Gross held at the annual Joint Mathematics Meetings in New Orleans (LA). The speakers were specialists in a variety of fields, and many were Professor Gross's former Ph.D. students and their descendants.

    Papers in this volume present results from several areas of mathematics. They illustrate applications of powerful ideas that originated in Gross's work and permeate diverse fields. Topics include stochastic partial differential equations, white noise analysis, Brownian motion, Segal-Bargmann analysis, heat kernels, and some applications.

    The volume should be useful to graduate students and researchers. It provides perspective on current activity and on central ideas and techniques in the topics covered.

    Readership

    Research mathematicians interested in probability and analysis.

  • Table of Contents
     
     
    • Articles
    • L. Accardi — Meixner classes and the square of white noise [ MR 1966884 ]
    • Sergio Albeverio, Yuri Kondratiev and Michael Röckner — Strong Feller properties for distorted Brownian motion and applications to finite particle systems with singular interactions [ MR 1966885 ]
    • Hassan Allouba and Victor Goodman — Market price of risk and random field driven models of term structure: a space-time change of measure look [ MR 1966886 ]
    • Nobuhiro Asai, Izumi Kubo and Hui-Hsiung Kuo — Gaussian and Poisson white noises with related characterization theorems [ MR 1966887 ]
    • Bruce K. Driver — Analysis of Wiener measure on path and loop groups [ MR 1966888 ]
    • Maria Gordina — Stochastic differential equations on noncommutative $L^2$ [ MR 1966889 ]
    • Brian C. Hall — The Segal-Bargmann transform and the Gross ergodicity theorem [ MR 1966890 ]
    • Brian C. Hall and Matthew B. Stenzel — Sharp bounds for the heat kernel on certain symmetric spaces of non-compact type [ MR 1966891 ]
    • Takeyuki Hida — Laplacians in white noise analysis [ MR 1966892 ]
    • Masanori Hino — On Dirichlet spaces over convex sets in infinite dimensions [ MR 1966893 ]
    • Christopher King — Information capacity of quantum channels [ MR 1966894 ]
    • Yuh-Jia Lee and Chen-Yuh Shih — The Riesz representation theorem on infinite dimensional spaces [ MR 1966895 ]
    • Jeffrey J. Mitchell — Asymptotic behavior in heat kernel analysis on manifolds [ MR 1966896 ]
    • Mylan Redfern — Complex stochastic calculus [ MR 1966897 ]
    • Stephen Bruce Sontz — Recent results and open problems in Segal-Bargmann analysis [ MR 1966898 ]
    • Aurel Stan — A new Heisenberg inequality for white noise analysis [ MR 1966899 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3172003; 224 pp
MSC: Primary 60; 28; 46; 58; 31; 62; 81;

This book contains the proceedings of the special session in honor of Leonard Gross held at the annual Joint Mathematics Meetings in New Orleans (LA). The speakers were specialists in a variety of fields, and many were Professor Gross's former Ph.D. students and their descendants.

Papers in this volume present results from several areas of mathematics. They illustrate applications of powerful ideas that originated in Gross's work and permeate diverse fields. Topics include stochastic partial differential equations, white noise analysis, Brownian motion, Segal-Bargmann analysis, heat kernels, and some applications.

The volume should be useful to graduate students and researchers. It provides perspective on current activity and on central ideas and techniques in the topics covered.

Readership

Research mathematicians interested in probability and analysis.

  • Articles
  • L. Accardi — Meixner classes and the square of white noise [ MR 1966884 ]
  • Sergio Albeverio, Yuri Kondratiev and Michael Röckner — Strong Feller properties for distorted Brownian motion and applications to finite particle systems with singular interactions [ MR 1966885 ]
  • Hassan Allouba and Victor Goodman — Market price of risk and random field driven models of term structure: a space-time change of measure look [ MR 1966886 ]
  • Nobuhiro Asai, Izumi Kubo and Hui-Hsiung Kuo — Gaussian and Poisson white noises with related characterization theorems [ MR 1966887 ]
  • Bruce K. Driver — Analysis of Wiener measure on path and loop groups [ MR 1966888 ]
  • Maria Gordina — Stochastic differential equations on noncommutative $L^2$ [ MR 1966889 ]
  • Brian C. Hall — The Segal-Bargmann transform and the Gross ergodicity theorem [ MR 1966890 ]
  • Brian C. Hall and Matthew B. Stenzel — Sharp bounds for the heat kernel on certain symmetric spaces of non-compact type [ MR 1966891 ]
  • Takeyuki Hida — Laplacians in white noise analysis [ MR 1966892 ]
  • Masanori Hino — On Dirichlet spaces over convex sets in infinite dimensions [ MR 1966893 ]
  • Christopher King — Information capacity of quantum channels [ MR 1966894 ]
  • Yuh-Jia Lee and Chen-Yuh Shih — The Riesz representation theorem on infinite dimensional spaces [ MR 1966895 ]
  • Jeffrey J. Mitchell — Asymptotic behavior in heat kernel analysis on manifolds [ MR 1966896 ]
  • Mylan Redfern — Complex stochastic calculus [ MR 1966897 ]
  • Stephen Bruce Sontz — Recent results and open problems in Segal-Bargmann analysis [ MR 1966898 ]
  • Aurel Stan — A new Heisenberg inequality for white noise analysis [ MR 1966899 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.