204 citations · 273 across the 12 of their papers we have counts for
16 papers
Nonlocal Boundary Value Problems Governed by Symmetric Nonlocal Operators
Leonhard Frerick, Julia Huschens, Michael Vu
Nonlocal boundary value problems with Dirichlet or Neumann boundary are well-studied for nonlocal operators of the type $\mathcal{L}_γu = \operatorname{PV} \int_{\mathbb{R}^d} \big…
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…
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…
Continuously differentiable functions on compact sets
Leonhard Frerick, Laurent Loosveldt, Jochen Wengenroth
We consider the space of real-valued continuously differentiable functions on a compact subset of a euclidean space. We characterize the completeness of this space and prove that t…
Mixing operators with prescribed unimodular eigenvectors
Hans-Peter Beise, Leonhard Frerick, Jürgen Müller
For arbitrary closed countable subsets of the unit circle examples of topologically mixing operators on Hilbert spaces are given which have a densely spanning set of unimodular…
The Nonlocal Ramsey Model for an Interacting Economy
L. Frerick, G. Müller-Fürstenberger, E. W. Sachs +1
The Ramsey model, first introduced by F. Ramsey in 1928, has become a cornerstone in the economic growth theory. Combined with the Solow model in the 1950s by the economists Cass (…