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Restricting Fourier transforms of measures to curves in R^2
Fourier transforms of fractal measures Fourier restriction
2010/12/14
We establish estimates for restrictions to certain curves in R2 of the Fourier transforms of some fractal measures.
Analytic continuations of Fourier and Stieltjes transforms and generalized moments of probability measures
Fourier transform Stieltjes transform Cauchy distribution non-commutative probability theory
2010/12/1
We consider analytic continuations of Fourier transforms and Stieltjes transforms. This nables us to gen-eralize moments for some class of probability measures which do not have moments in the usual ...