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| Content Provider | Springer Nature Link |
|---|---|
| Author | Jorgensen, Palle E. T. Pedersen, Steen Tian, Feng |
| Copyright Year | 2012 |
| Abstract | We study the momentum operator defined on the disjoint union of two intervals. Even in one dimension, the question of two non-empty open and non-overlapping intervals has not been worked out in a way that extends the cases of a single interval and gives a list of the selfadjoint extensions. Starting with zero boundary conditions at the four endpoints, we characterize the selfadjoint extensions and undertake a systematic and complete study of the spectral theory of the selfadjoint extensions. In an application of our extension theory to harmonic analysis, we offer a new family of spectral pairs. Compared to earlier studies, it yields a more direct link between spectrum and geometry. |
| Starting Page | 1735 |
| Ending Page | 1773 |
| Page Count | 39 |
| File Format | |
| ISSN | 16618254 |
| Journal | Complex Analysis and Operator Theory |
| Volume Number | 7 |
| Issue Number | 6 |
| e-ISSN | 16618262 |
| Language | English |
| Publisher | Springer Basel |
| Publisher Date | 2012-03-28 |
| Publisher Place | Basel |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Unbounded operators Symmetric and selfadjoint extensions Deficiency indices Boundary values for linear first-order PDE Fourier series Special orthogonal functions Spectral sets Spectral pairs Tilings Algebras of unbounded operators; partial algebras of operators Symmetric and selfadjoint operators Boundary value problems for linear first-order equations Fourier series in special orthogonal functions Mathematics Operator Theory Analysis |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Computational Theory and Mathematics Computational Mathematics |
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