Commuting self-adjoint extensions of the partial differential operators on disconnected sets

Piyali Chakraborty; Dorin Ervin Dutkay

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arXiv · 2506.23720

Commuting self-adjoint extensions of the partial differential operators on disconnected sets

Piyali Chakraborty·Dorin Ervin Dutkay

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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 $\br^d$, the associated unitary group, the spectral measure and some geometric properties.

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BibTeX RIS

Piyali Chakraborty, Dorin Ervin Dutkay. 2025-06-30. Commuting self-adjoint extensions of the partial differential operators on disconnected sets. https://arxiv.org/abs/2506.23720

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