About: Laplace–Stieltjes transform

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The Laplace–Stieltjes transform, named for Pierre-Simon Laplace and Thomas Joannes Stieltjes, is an integral transform similar to the Laplace transform. For real-valued functions, it is the Laplace transform of a Stieltjes measure, however it is often defined for functions with values in a Banach space. It is useful in a number of areas of mathematics, including functional analysis, and certain areas of theoretical and applied probability.

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rdfs:label	Trasformata di Laplace-Stieltjes (it) Laplace–Stieltjes transform (en) ラプラス＝スティルチェス変換 (ja)
rdfs:comment	The Laplace–Stieltjes transform, named for Pierre-Simon Laplace and Thomas Joannes Stieltjes, is an integral transform similar to the Laplace transform. For real-valued functions, it is the Laplace transform of a Stieltjes measure, however it is often defined for functions with values in a Banach space. It is useful in a number of areas of mathematics, including functional analysis, and certain areas of theoretical and applied probability. (en) ラプラス＝スティルチェス変換（ラプラス＝スティルチェスへんかん）は、ラプラス変換に類似した変換である。ピエール＝シモン・ラプラスとトーマス・スティルチェスにちなんで命名された。関数解析、基礎および応用確率論を含む多くの数学分野で活用されている。 (ja) La trasformata di Laplace-Stieltjes, il cui nome è dovuto a Pierre-Simon Laplace e Thomas Joannes Stieltjes, è una trasformata integrale che ha caratteristiche molto simili alla trasformata di Laplace. Per funzioni a valori reali è la trasformata di Laplace di una misura di Stieltjes, mentre in generale è solitamente definita su funzioni a valori in uno spazio di Banach. (it)
dcterms:subject	Laplace transforms Integral transforms
Wikipage page ID	365929 (xsd:integer)
Wikipage revision ID	1117702912 (xsd:integer)
Link from a Wikipage to another Wikipage	Laplace transforms Real-valued function Bounded variation Applied probability Uniform distribution (continuous) Vector measure Infimum and supremum Integral transform Complex number Complex plane Convolution theorem Mathematics Moment (mathematics) Convolution of probability distributions Thomas Joannes Stieltjes Functional analysis Harmonic analysis Banach space Semigroup American Mathematical Society Cumulative distribution function Erlang distribution Expected value Fourier transform Partial differential equations Probability theory Random variable Heat equation Riemann-Liouville integral Integral transforms Laplace transform Dirac delta function Pierre-Simon Laplace Brownian motion Moment-generating function Riemann–Stieltjes integral Lebesgue-Stieltjes integration Lebesgue integral Infinitely divisible process Stieltjes measure
Link from a Wikipage to an external page	https://archive.org/details/modularfunctions0000apos
sameAs	Laplace–Stieltjes transform Laplace–Stieltjes transform Laplace–Stieltjes transform Laplace–Stieltjes transform Laplace–Stieltjes transform
dbp:wikiPageUsesTemplate	dbt:Springer dbt:Citation dbt:ISBN dbt:Math dbt:Reflist dbt:Harvnb
first	N.S. (en)
id	l/l057540 (en)
last	Zhavrid (en)
title	Laplace transform (en)
has abstract	The Laplace–Stieltjes transform, named for Pierre-Simon Laplace and Thomas Joannes Stieltjes, is an integral transform similar to the Laplace transform. For real-valued functions, it is the Laplace transform of a Stieltjes measure, however it is often defined for functions with values in a Banach space. It is useful in a number of areas of mathematics, including functional analysis, and certain areas of theoretical and applied probability. (en) ラプラス＝スティルチェス変換（ラプラス＝スティルチェスへんかん）は、ラプラス変換に類似した変換である。ピエール＝シモン・ラプラスとトーマス・スティルチェスにちなんで命名された。関数解析、基礎および応用確率論を含む多くの数学分野で活用されている。 (ja) La trasformata di Laplace-Stieltjes, il cui nome è dovuto a Pierre-Simon Laplace e Thomas Joannes Stieltjes, è una trasformata integrale che ha caratteristiche molto simili alla trasformata di Laplace. Per funzioni a valori reali è la trasformata di Laplace di una misura di Stieltjes, mentre in generale è solitamente definita su funzioni a valori in uno spazio di Banach. (it)
prov:wasDerivedFrom	wikipedia-en:Laplace–Stieltjes_transform?oldid=1117702912&ns=0
page length (characters) of wiki page	8868 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Laplace–Stieltjes_transform
is Link from a Wikipage to another Wikipage of	M/G/1 queue M/M/c queue Pollaczek–Khinchine formula Thomas Joannes Stieltjes Matrix-exponential distribution Fluid queue Laplace transform Borel measure Pierre-Simon Laplace Final value theorem List of things named after Pierre-Simon Laplace List of transforms Laplace-Stieltjes transform Rational arrival process Zeta function regularization Unimodality Outline of probability Riemann–Stieltjes integral
is Wikipage redirect of	Laplace-Stieltjes transform
is known for of	Thomas Joannes Stieltjes Pierre-Simon Laplace
is known for of	Thomas Joannes Stieltjes

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