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math.CA2022
A Fourier integral formula for logarithmic energy
Leonhard Frerick, Jürgen Müller, Tobias Thomaser
A 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…
math.AP2022★ 3 cited
The nonlocal Neumann problem
Leonhard Frerick, Christian Vollmann, Michael Vu
The classical local Neumann problem is well studied and solutions of this problem lie, in general, in a Sobolev space. In this work, we focus on nonlocal Neumann problems with meas…