Classical Potential Theory and Its Probabilistic Counterpart (Classics in Mathematics)
Publisher: Springer
Published: March 1, 2001
Language: eng
Format: Paperback
Number of pages: 846
ISBN-13: 9783540412069
Subjects: Complex analysis; Probability & statistics; Science/Mathematics; Mathematics; Functional Analysis; Probability & Statistics - General; 31XX; 60J45; Mathematics / Mathematical Analysis; Potential Theory; Probabilistic Potential Theory; Martingales (Mathematics); Harmonic functions; Potential theory (Mathematics)
First sentence: The unweighted average of a function u over B( ) and over B( ) will be denoted by L( ) and A( ), respectively; that is assuming that the necessary measurability and integrability conditions are satisfied.
Description: From the reviews: "This huge book written in several years by one of the few mathematicians able to do it, appears as a precise and impressive study (not very easy to read) of this bothsided question that replaces, in a coherent way, without being encyclopaedic, a large library of books and papers scattered without a uniform language. Instead of summarizing the author gives his own way of exposition with original complements. This requires no preliminary knowledge. ...The purpose which the author explains in his introduction, i.e. a deep probabilistic interpretation of potential theory and a link between two great theories, appears fulfilled in a masterly manner". M. Brelot in Metrika (1986)