On the Chebyshev properties of system of eigenfunctions for Sturm--Liouville problem with singular coefficients
| dc.creator | Vladimirov, A. A. | |
| dc.date | 2008-10-23 | |
| dc.date.accessioned | 2026-07-07T10:12:59Z | |
| dc.date.available | 2026-07-07T10:12:59Z | |
| dc.description | In the paper we consider singular spectral Sturm--Liouville problem $-(py')'+(q-λr)y=0$, $(U-1)y^{\vee}+i(U+1)y^{\wedge}=0$, where function $p\in L_{\infty}[0,1]$ is uniformly positive, generalized function $q\in W_2^{-1}[0,1]$ is real-valued, generalized weight function $r\in W_2^{-1}[0,1]$ is positive and unitary matrix $U\in\mathbb C^{2\times 2}$ is diagonal. The goal is to prove that well-known (for smooth case) facts about Chebyshev property of eigenfunctions hold in general case. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/0810.4356 | |
| dc.identifier | http://arxiv.org/abs/0810.4356 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172372 | |
| dc.subject | Spectral Theory | |
| dc.subject | 34L20; 34B09 | |
| dc.title | On the Chebyshev properties of system of eigenfunctions for Sturm--Liouville problem with singular coefficients | |
| dc.type | text |