You are here

Classical Potential Theory and Its Probabilistic Counterpart

Publisher: 
Springer Verlag
Number of Pages: 
846
Price: 
54.95
ISBN: 
978-3540412069
Date Received: 
Wednesday, February 28, 2007
Reviewable: 
Yes
Include In BLL Rating: 
Yes
Joseph L. Doob
Series: 
Classics in Mathematics
Publication Date: 
2001
Format: 
Paperback
Category: 
Monograph
BLL Committee
11/18/2010
BLL Rating: 

 From the contents: Introduction.- Notation and Conventions.- Part I Classical and Parabolic Potential Theory: Introduction to the Mathematical Background of Classical Potential Theory; Basic Properties of Harmonic, Subharmonic, and Superharmonic Functions; Infirma of Families of Suerharmonic Functions; Potentials on Special Open sets; Polar sets and Their Applications; The Fundamental Convergence Theorem and the Reduction Operation; Green Functions; The Dirichlet Problem for Relative Harmonic Functions; Lattices and Related Classes of Functions; The Sweeping Operation, The Fine Topology; The Martin Boundary; Classical Energy and Capacity; One-Dimensional Potential Theory.- .... Part II Probabilistic Counterpart of Part I.......- Part III Lattices in Classical Potential Theory and Martingale Theory; Brownian Motion and the PWB Method; Brownian Motion on the Martin Space.- Appendixes.

Publish Book: 
Modify Date: 
Thursday, November 18, 2010

Dummy View - NOT TO BE DELETED