# Nonlocal quadratic forms with visibility constraint

@article{Kassmann2022NonlocalQF,
title={Nonlocal quadratic forms with visibility constraint},
author={Moritz Kassmann and Vanja Wagner},
journal={Mathematische Zeitschrift},
year={2022},
volume={301},
pages={3087 - 3107}
}
• Published 29 October 2018
• Mathematics
• Mathematische Zeitschrift
Given a subset D of the Euclidean space, we study nonlocal quadratic forms that take into account tuples (x,y)∈D×D\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(x,y) \in D \times D$$\end{document} if and only if the line segment between x and y is contained in D. We discuss regularity of the corresponding…
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