Commuting self-adjoint extensions of the partial differential operators on disconnected sets
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908667861794816 |
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| author | Chakraborty, Piyali Dutkay, Dorin Ervin |
| author_facet | Chakraborty, Piyali Dutkay, Dorin Ervin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23720 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Commuting self-adjoint extensions of the partial differential operators on disconnected sets Chakraborty, Piyali Dutkay, Dorin Ervin Functional Analysis Spectral Theory 47E05, 42A16 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. |
| title | Commuting self-adjoint extensions of the partial differential operators on disconnected sets |
| topic | Functional Analysis Spectral Theory 47E05, 42A16 |
| url | https://arxiv.org/abs/2506.23720 |