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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) 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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In measure theory, a radonifyingfunction (ultimately named after Johann Radon) between measurable spaces is one that takes a cylinder set measure (CSM)...
known as strong convergence, as contrasted with weak convergence. Radonifyingfunction Vague topology Folland 1999, p. 212 Bourbaki 2004a Bourbaki 2004b;...
to make use of the so-called Radon–Riesz property. Radon spaces Radonifyingfunction Brigitte Bukovics: Biography of Johann Radon, in: 75 Years of Radon...
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...