Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
We consider the Kirchhoff Laplacians on equilateral periodic metric graphs. We present results about spectral properties of these operators: 1) the decomposition of the metric Laplacians into a constant fiber direct integral (with an exact form of fiber operators); 2) the relation between eigenfunctions of fiber operators for the metric and discrete Laplacians; 3) a uniform bound for the eigenfunctions of the fiber metric Laplacians.
| Original language | English |
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| Title of host publication | Proceedings of the International Conference Days on Diffraction, DD 2016 |
| Editors | A.Ya. Kazakov, A.P. Kiselev, O.V. Motygin, A.S. Kirpichnikova, L.I. Goray, P.V. Kapitanova |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 223-228 |
| Number of pages | 6 |
| ISBN (Electronic) | 9781509058006 |
| DOIs | |
| State | Published - 28 Nov 2016 |
| Event | 2016 International Conference Days on Diffraction, DD 2016 - St. Petersburg, Russian Federation Duration: 27 Jun 2016 → 1 Jul 2016 |
| Name | Proceedings of the International Conference Days on Diffraction, DD 2016 |
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| Conference | 2016 International Conference Days on Diffraction, DD 2016 |
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| Country/Territory | Russian Federation |
| City | St. Petersburg |
| Period | 27/06/16 → 1/07/16 |
ID: 9153791