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01647 a2200229 4500 |
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20181217135905.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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181212b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| ISBN |
9780387943879 |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
IIT Kanpur |
| 041 ## - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515 |
| Item number |
B293p |
| 100 ## - MAIN ENTRY--AUTHOR NAME |
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| Personal name |
Bass, Richard F. |
| 245 ## - TITLE STATEMENT |
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| Title |
Probabilistic techniques in analysis |
| Statement of responsibility, etc |
Richard F. Bass |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher |
Springer-Verlag |
| Year of publication |
1995 |
| Place of publication |
New York |
| 300 ## - PHYSICAL DESCRIPTION |
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| Number of Pages |
xii, 392p. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
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| Title |
Probability and its applications: a series of the applied probability trust |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
/ edited by J. Gani |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
In recent years, there has been an upsurge of interest in using techniques drawn from probability to tackle problems in analysis. These applications arise in subjects such as potential theory, harmonic analysis, singular integrals, and the study of analytic functions. This book presents a modern survey of these methods at the level of a beginning Ph.D. student. Highlights of this book include the construction of the Martin boundary, probabilistic proofs of the boundary Harnack principle, Dahlberg's theorem, a probabilistic proof of Riesz' theorem on the Hilbert transform, and Makarov's theorems on the support of harmonic measure. The author assumes that a reader has some background in basic real analysis, but the book includes proofs of all the results from probability theory and advanced analysis required. Each chapter concludes with exercises ranging from the routine to the difficult. In addition, there are included discussions of open problems and further avenues of research. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Mathematical analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Probabilities |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Books |
