Commuting self-adjoint extensions of the partial differential operators on disconnected sets
Functional Analysis
2025-11-24 v1 Spectral Theory
Abstract
In connection with the Fuglede conjecture, we study the existence of commuting self-adjoint extensions of the partial differential operators on arbitrary, possibly disconnected domains in , the associated unitary group, the spectral measure and some geometric properties.
Cite
@article{arxiv.2506.23720,
title = {Commuting self-adjoint extensions of the partial differential operators on disconnected sets},
author = {Piyali Chakraborty and Dorin Ervin Dutkay},
journal= {arXiv preprint arXiv:2506.23720},
year = {2025}
}