Bernstein Functions : : Theory and Applications /

Bernstein Functions : : Theory and Applications / / René L. Schilling, Renming Song, Zoran Vondracek.

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This text is a self-contained and unified approach to Bernstein functions and their subclasses, bringing together old and establishing new connections. Applications of Bernstein functions in different fields of mathematics are given, with special attention to interpretations in probability theory. A...

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Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
VerfasserIn:
Schilling, René L.,
Song, Renming,
Vondracek, Zoran,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2009]
©2010
Year of Publication:2009
Language:English
Series:De Gruyter Studies in Mathematics , 37
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Physical Description:1 online resource (313 p.)
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id 9783110215311
ctrlnum (DE-B1597)36072
(OCoLC)979689117
collection bib_alma
record_format marc
spelling Schilling, René L., author. aut http://id.loc.gov/vocabulary/relators/aut
Bernstein Functions : Theory and Applications / René L. Schilling, Renming Song, Zoran Vondracek.
Berlin ; Boston : De Gruyter, [2009]
©2010
1 online resource (313 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Studies in Mathematics , 0179-0986 ; 37
Frontmatter -- Contents -- 1 Completely monotone functions -- 2 Stieltjes functions -- 3 Bernstein functions -- 4 Positive and negative definite functions -- 5 A probabilistic intermezzo -- 6 Complete Bernstein functions: representation -- 7 Complete Bernstein functions: properties -- 8 Thorin–Bernstein functions -- 9 A second probabilistic intermezzo -- 10 Special Bernstein functions and potentials -- 11 The spectral theorem and operator monotonicity -- 12 Subordination and Bochner’s functional calculus -- 13 Potential theory of subordinate killed Brownian motion -- 14 Applications to generalized diffusions -- 15 Examples of complete Bernstein functions -- Backmatter
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
This text is a self-contained and unified approach to Bernstein functions and their subclasses, bringing together old and establishing new connections. Applications of Bernstein functions in different fields of mathematics are given, with special attention to interpretations in probability theory. An extensive list of complete Bernstein functions with their representations is provided. A self-contained and unified approach to the topic With applications to various fields of mathematics, such as probability theory, potential theory, operator theory, integral equations, functional calculi and complex analysis With an extensive list of complete Bernstein functions. Additional material and corrections can be found on the authors' website.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)
Analytic functions.
Monotonic functions.
Bernstein-Funktion.
Halbgruppe.
Operatortheorie.
Wahrscheinlichkeitsmaß.
monotone Funktion.
MATHEMATICS / Mathematical Analysis. bisacsh
Bernstein Functions.
Complete Bernstein Functions.
Completely Monotone Function.
Laplace Transform.
Stieltjes Function/Transform.
Song, Renming, author. aut http://id.loc.gov/vocabulary/relators/aut
Vondracek, Zoran, author. aut http://id.loc.gov/vocabulary/relators/aut
Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package 9783110494938 ZDB-23-GSM
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570
Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA
print 9783110215304
https://doi.org/10.1515/9783110215311
https://www.degruyter.com/isbn/9783110215311
Cover https://www.degruyter.com/document/cover/isbn/9783110215311/original
language English
format eBook
author Schilling, René L.,
Schilling, René L.,
Song, Renming,
Vondracek, Zoran,
spellingShingle Schilling, René L.,
Schilling, René L.,
Song, Renming,
Vondracek, Zoran,
Bernstein Functions : Theory and Applications /
De Gruyter Studies in Mathematics ,
Frontmatter --
Contents --
1 Completely monotone functions --
2 Stieltjes functions --
3 Bernstein functions --
4 Positive and negative definite functions --
5 A probabilistic intermezzo --
6 Complete Bernstein functions: representation --
7 Complete Bernstein functions: properties --
8 Thorin–Bernstein functions --
9 A second probabilistic intermezzo --
10 Special Bernstein functions and potentials --
11 The spectral theorem and operator monotonicity --
12 Subordination and Bochner’s functional calculus --
13 Potential theory of subordinate killed Brownian motion --
14 Applications to generalized diffusions --
15 Examples of complete Bernstein functions --
Backmatter
author_facet Schilling, René L.,
Schilling, René L.,
Song, Renming,
Vondracek, Zoran,
Song, Renming,
Song, Renming,
Vondracek, Zoran,
Vondracek, Zoran,
author_variant r l s rl rls
r l s rl rls
r s rs
z v zv
author_role VerfasserIn
VerfasserIn
VerfasserIn
VerfasserIn
author2 Song, Renming,
Song, Renming,
Vondracek, Zoran,
Vondracek, Zoran,
author2_variant r s rs
z v zv
author2_role VerfasserIn
VerfasserIn
VerfasserIn
VerfasserIn
author_sort Schilling, René L.,
title Bernstein Functions : Theory and Applications /
title_sub Theory and Applications /
title_full Bernstein Functions : Theory and Applications / René L. Schilling, Renming Song, Zoran Vondracek.
title_fullStr Bernstein Functions : Theory and Applications / René L. Schilling, Renming Song, Zoran Vondracek.
title_full_unstemmed Bernstein Functions : Theory and Applications / René L. Schilling, Renming Song, Zoran Vondracek.
title_auth Bernstein Functions : Theory and Applications /
title_alt Frontmatter --
Contents --
1 Completely monotone functions --
2 Stieltjes functions --
3 Bernstein functions --
4 Positive and negative definite functions --
5 A probabilistic intermezzo --
6 Complete Bernstein functions: representation --
7 Complete Bernstein functions: properties --
8 Thorin–Bernstein functions --
9 A second probabilistic intermezzo --
10 Special Bernstein functions and potentials --
11 The spectral theorem and operator monotonicity --
12 Subordination and Bochner’s functional calculus --
13 Potential theory of subordinate killed Brownian motion --
14 Applications to generalized diffusions --
15 Examples of complete Bernstein functions --
Backmatter
title_new Bernstein Functions :
title_sort bernstein functions : theory and applications /
series De Gruyter Studies in Mathematics ,
series2 De Gruyter Studies in Mathematics ,
publisher De Gruyter,
publishDate 2009
physical 1 online resource (313 p.)
Issued also in print.
contents Frontmatter --
Contents --
1 Completely monotone functions --
2 Stieltjes functions --
3 Bernstein functions --
4 Positive and negative definite functions --
5 A probabilistic intermezzo --
6 Complete Bernstein functions: representation --
7 Complete Bernstein functions: properties --
8 Thorin–Bernstein functions --
9 A second probabilistic intermezzo --
10 Special Bernstein functions and potentials --
11 The spectral theorem and operator monotonicity --
12 Subordination and Bochner’s functional calculus --
13 Potential theory of subordinate killed Brownian motion --
14 Applications to generalized diffusions --
15 Examples of complete Bernstein functions --
Backmatter
isbn 9783110215311
9783110494938
9783110238570
9783110238471
9783110637205
9783110215304
issn 0179-0986 ;
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA331
callnumber-sort QA 3331 S35 42010EB
url https://doi.org/10.1515/9783110215311
https://www.degruyter.com/isbn/9783110215311
https://www.degruyter.com/document/cover/isbn/9783110215311/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515.7
dewey-sort 3515.7
dewey-raw 515.7
dewey-search 515.7
doi_str_mv 10.1515/9783110215311
oclc_num 979689117
work_keys_str_mv AT schillingrenel bernsteinfunctionstheoryandapplications
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AT vondracekzoran bernsteinfunctionstheoryandapplications
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ids_txt_mv (DE-B1597)36072
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carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN)
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014
is_hierarchy_title Bernstein Functions : Theory and Applications /
container_title Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
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