Mathematics > Functional Analysis
arXiv:2506.23720 (math)
[Submitted on 30 Jun 2025 (v1), last revised 24 Jun 2026 (this version, v2)]
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.
Submission history
From: Dorin Ervin Dutkay [view email]
[v1]
Mon, 30 Jun 2025 10:49:51 UTC (27 KB)
[v2]
Wed, 24 Jun 2026 10:55:49 UTC (45 KB)
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