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Probabilistic behavior of harmonic f...

Bañuelos, Rodrigo, (1954-)

Probabilistic behavior of harmonic functions /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Probabilistic behavior of harmonic functions /Rodrigo Bañuelos, Charles N. Moore.
Author:	Bañuelos, Rodrigo,
other author:	Moore, Charles N.,
Published:	Basel ;Birkhäuser Verlag,c1999.
Description:	xiv, 204 p. ;24 cm.
Subject:	Harmonic functions.
Online resource:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=008539896&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Online resource:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008539896&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Online resource:	http://www.gbv.de/dms/goettingen/269469516.pdf
Online resource:	http://swbplus.bsz-bw.de/bsz078919673cov.htm
ISBN:	9783764360627 (Basel) :

Probabilistic behavior of harmonic functions /
Bañuelos, Rodrigo,1954-

Probabilistic behavior of harmonic functions /Rodrigo Bañuelos, Charles N. Moore. - Basel ;Birkhäuser Verlag,c1999. - xiv, 204 p. ;24 cm. - Progress in mathematics ;v. 175. - Progress in mathematics (Boston, Mass.) ;vol. 191..

Includes bibliographical references and indexes.

"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."--Jacket.

ISBN: 9783764360627 (Basel) :EUR$99.99

LCCN: 99032643

Nat. Bib. No.: 99,N23,0399dnbSubjects--Topical Terms:

205716
Harmonic functions.

LC Class. No.: QA405 / B219 1999

Dewey Class. No.: 515/.53

Probabilistic behavior of harmonic functions /
LDR:02960nam a2200397 a 4500 001 549205
003 OCoLC
005 20190730061800.0
008 190920s1999 sz b 001 0 eng
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015 $a 99,N23,0399 $2 dnb
020 $a 9783764360627 (Basel) : $c EUR$99.99
020 $a 0817660623 (Boston)
020 $a 9780817660628 (Boston)
020 $a 3764360623 (Basel)
029 8 6 $a cam a2200409 a 450
035 $a (OCoLC)41504986
035 $a ocm41504986
040 $a DLC $b eng $c DLC $d YSM $d GZM $d FPU $d LVB $d BAKER $d NLGGC $d BTCTA $d YDXCP $d SZ9XM $d OCLCG $d HEBIS $d DEBBG $d OCL $d BDX $d OCLCO $d MUU $d OCLCF $d OCLCQ $d DEBSZ $d OCLCQ $d OCLCO $d UKMGB
042 $a pcc
050 0 0 $a QA405 $b B219 1999
082 0 0 $a 515/.53 $2 21
084 $a 31.70 $2 bcl
084 $a 27 $2 sdnb
084 $a SK 450 $2 rvk
084 $a SK 820 $2 rvk
100 1 $a Bañuelos, Rodrigo, $d 1954- $3 829120
245 1 0 $a Probabilistic behavior of harmonic functions / $c Rodrigo Bañuelos, Charles N. Moore.
260 # $a Basel ; $a Boston : $b Birkhäuser Verlag, $c c1999.
300 $a xiv, 204 p. ; $c 24 cm.
490 1 $a Progress in mathematics ; $v v. 175
504 $a Includes bibliographical references and indexes.
520 1 $a "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."--Jacket.
650 # 0 $a Harmonic functions. $3 205716
650 # 0 $a Probabilities. $3 182046
700 1 # $a Moore, Charles N., $d 1956- $3 829121
776 0 8 $i Online version: $a Bañuelos, Rodrigo, 1954- $t Probabilistic behavior of harmonic functions. $d Basel ; Boston : Birkhäuser Verlag, 1999 $w (OCoLC)812152940
830 0 $a Progress in mathematics (Boston, Mass.) ; $v vol. 191. $3 435908
856 4 1 $3 Table of contents $u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=008539896&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
856 4 1 $3 Table of contents $u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008539896&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
856 4 1 $3 Table of contents $u http://www.gbv.de/dms/goettingen/269469516.pdf $z Kostenfrei
856 4 # $3 Cover $u http://swbplus.bsz-bw.de/bsz078919673cov.htm $v 20150909153017

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http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=008539896&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008539896&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
http://www.gbv.de/dms/goettingen/269469516.pdf
http://swbplus.bsz-bw.de/bsz078919673cov.htm

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