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Probabilistic Behavior of Harmonic Functions (Progress in Mathematics) [Hardcover]

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Item description for Probabilistic Behavior of Harmonic Functions (Progress in Mathematics) by Rodrigo Banuelos...

Harmonic analysis and probability have long enjoyed a mutually beneficial relationship that has been rich and fruitful. This monograph, aimed at researchers and students in these fields, explores several aspects of this relationship. The primary focus of the text is the nontangential maximal function and the area function of a harmonic function and their probabilistic analogues in martingale theory. The text first gives the requisite background material from harmonic analysis and discusses known results concerning the nontangential maximal function and area function, as well as the central and essential role these have played in the development of the field.The book next discusses further refinements of traditional results: among these are sharp good-lambda inequalities and laws of the iterated logarithm involving nontangential maximal functions and area functions. Many applications of these results are given. Throughout, the constant interplay between probability and harmonic analysis is emphasized and explained. The text contains some new and many recent results combined in a coherent presentation.

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Item Specifications...

Pages   228
Est. Packaging Dimensions:   Length: 9.1" Width: 6.2" Height: 0.7"
Weight:   1.05 lbs.
Binding  Hardcover
Release Date   Aug 13, 1999
Publisher   Birkhäuser Basel
ISBN  3764360623  
ISBN13  9783764360627  

Availability  107 units.
Availability accurate as of Oct 25, 2016 06:37.
Usually ships within one to two business days from La Vergne, TN.
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More About Rodrigo Banuelos

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Product Categories

1Books > Subjects > Medicine > General
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Statistics
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
4Books > Subjects > Science > General
5Books > Subjects > Science > Mathematics > Applied > Probability & Statistics
6Books > Subjects > Science > Mathematics > General
7Books > Subjects > Science > Mathematics > Infinity
8Books > Subjects > Science > Mathematics > Mathematical Analysis

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