Some Topics in Probability and Analysis is popular PDF and ePub book, written by R. F. Gundy in 1989, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Some Topics in Probability and Analysis can be Read Online from any device for your convenience.
Some Topics in Probability and Analysis Book PDF Summary
This book is based on lectures presented by the author at DePaul University in July 1986. The lectures cover three main topics. The first is local time theory for Brownian motion and some geometrical inequalities for harmonic functions in the upper half-plane $R^{n+1}_+$. The author sketches a proof of the inequalities obtained by Barlow and Yor for the maximal local time functional. The second topic concerns a probabilistic treatment of Riesz transforms in $R^{n+1}_+$, and semimartingale inequalities. The author proves semimartingale inequalities of the type usually obtained for martingales. The final topic centers on a discussion of the Ornstein-Uhlenbeck semigroup and P. A. Meyer's extension of the Riesz inequalities for the infinite-dimensional version of this semigroup. One of the major results of the book is the establishment of inequalities for the density of the area integral.
Detail Book of Some Topics in Probability and Analysis PDF
- Author : R. F. Gundy
- Release : 01 October 1989
- Publisher : American Mathematical Soc.
- ISBN : 9780821807217
- Genre : Mathematics
- Total Page : 57 pages
- Language : English
- PDF File Size : 8,7 Mb
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