Commuting self-adjoint extensions of the partial differential operators on disconnected sets
classification
🧮 math.FA
math.SP
keywords
commutingdifferentialdisconnectedextensionsoperatorspartialself-adjointarbitrary
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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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