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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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  • 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)
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dbp:first
  • N.S. (en)
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  • l/l057540 (en)
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  • Zhavrid (en)
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  • Laplace transform (en)
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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. (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)
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)
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