Some remarks on spherical harmonics
| dc.creator | Gichev, V. M. | |
| dc.date | 2007-05-17 | |
| dc.date | 2008-08-06 | |
| dc.date.accessioned | 2026-07-07T09:54:37Z | |
| dc.date.available | 2026-07-07T09:54:37Z | |
| dc.description | The article contains several observations on spherical harmonics and their nodal sets: a construction for harmonics with prescribed zeroes; a kind of canonical representation of this type for harmonics on $\bbS^2$; upper and lower bounds for nodal length and inner radius (the upper bounds are sharp); precise upper bound for the number of common zeroes of two spherical harmonics on $\bbS^2$; the mean Hausdorff measure on the intersection of $k$ nodal sets for harmonics of different degrees on $\bbS^m$, where $k\leq m$ (in particular, the mean number of common zeroes of $m$ harmonics). | |
| dc.description | 20 pages. Translation of the version which is published in Russian. Minor modifications throughout the paper. An error in calculation is corrected (page 14) | |
| dc.identifier | https://arxiv.org/abs/0705.2547 | |
| dc.identifier | http://arxiv.org/abs/0705.2547 | |
| dc.identifier | Algebra i Analiz, 2008, V. 20, No 4, 64--86 (in Russian) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166382 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Metric Geometry | |
| dc.subject | 58J50; 51M16 | |
| dc.title | Some remarks on spherical harmonics | |
| dc.type | text |