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Radonifying function information


In measure theory, a radonifying function (ultimately named after Johann Radon) between measurable spaces is one that takes a cylinder set measure (CSM) on the first space to a true measure on the second space. It acquired its name because the pushforward measure on the second space was historically thought of as a Radon measure.

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Radonifying function

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In measure theory, a radonifying function (ultimately named after Johann Radon) between measurable spaces is one that takes a cylinder set measure (CSM)...

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Radon measure

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known as strong convergence, as contrasted with weak convergence. Radonifying function Vague topology Folland 1999, p. 212 Bourbaki 2004a Bourbaki 2004b;...

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Cylinder set measure

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σ-algebra Radonifying function Structure theorem for Gaussian measures – Mathematical theorem I.M. Gel'fand, N.Ya. Vilenkin, Generalized functions. Applications...

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Johann Radon

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to make use of the so-called Radon–Riesz property. Radon spaces Radonifying function Brigitte Bukovics: Biography of Johann Radon, in: 75 Years of Radon...

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Laurent Schwartz

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which gives a well-defined meaning to objects such as the Dirac delta function. He was awarded the Fields Medal in 1950 for his work on the theory of...

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