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A Fourier Integral Formula for Logarithmic Energy

L. Frerick,J. Müller, T. Thomaser

Potential Analysis（2024）

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Abstract
formula which expresses logarithmic energy of Borel measures on 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 for Riesz energy is reinvented.
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Key words
Logarithmic energy,logarithmic potential,Riesz energy,Riesz potential
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