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Classical Potential Theory and Its Probabilistic Counterpart

Joseph L. Doob
Publisher: 
Springer Verlag
Publication Date: 
2001
Number of Pages: 
846
Format: 
Paperback
Series: 
Classics in Mathematics
Price: 
54.95
ISBN: 
978-3540412069
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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 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.

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