T. Thomaser
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A Fourier Integral Formula for Logarithmic Energy Open
A formula which expresses logarithmic energy of Borel measures on $$\mathbb {R}^n$$ in terms of the Fourier transforms of the measures is established and some applications are given. In addition, using similar techniques a (known) formula …
Representation Theorems for the Cauchy Transform in Weighted Bergman–Dirichlet Spaces Open
In this paper we analyse the integrability of Cauchy transforms of functions and measures. As an application of general Paley–Wiener theorems, we show that the integrability of the Cauchy transform of a function or measure is deeply relate…