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Fourier transforms and descriptive set theory

Part of: Connections with other structures, applications

Published online by Cambridge University Press:  26 February 2010

R. Kaufman
R. Kaufman
Affiliation:
Department of Mathematics, University of Illinois, 273 Altgeld Hall, 1409, West Green Street, Urbana, Illinois, 61801, U.S.A.
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Extract

We state some definitions belonging to the two halves of the title, going far enough to state our main results.

Fourier transforms. Let μ be a finite, complex-valued measure on R and its Fourier-Stieltjes transform. We define ℛ to be the set of μ with When μ ∈ ℛ and φ is of class (continuously differentiable of compact support), the identity shows that θ · μ ∈ ℛ.

MSC classification

Secondary: 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
Type
Research Article
Information
Mathematika , Volume 31 , Issue 2 , December 1984 , pp. 336 - 339
Copyright
Copyright © University College London 1984

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