The asymptotical behavior of spectral function of one family of differential operators
| dc.creator | Pechentsov, A. S. | |
| dc.creator | Popov, A. Yu. | |
| dc.date | 1997-02-12 | |
| dc.date.accessioned | 2026-07-07T09:13:44Z | |
| dc.date.available | 2026-07-07T09:13:44Z | |
| dc.description | Is considered the asymptotical behavior of spectral function $ρ(λ, ε),ε> 0$, of one family of self adjoint differential operators of second order, defined in space $L_2[0,+\infty)$ with potentials, depending on $ε$. Are given evaluations for the derivative of spectral function for negative $λ$ and is proved the weak convergence of $ρ'(λ, ε)$ to $ρ'(λ, 0)$ with $ε\to +0$. | |
| dc.description | 5 pages, AMSTeX, to appear in Proceedings of the Seventh Crimean Autumn Mathematical School-Simposium on Spectral and Evolutionary Problems (September, 18-29, 1996, Sevastopol, Ukraine) | |
| dc.identifier | https://arxiv.org/abs/funct-an/9702012 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9702012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152430 | |
| dc.subject | Functional Analysis | |
| dc.subject | Spectral Theory | |
| dc.title | The asymptotical behavior of spectral function of one family of differential operators | |
| dc.type | text |