Conditions for uniformly convergence of expansions of continuous functions from Nikolskii classes in eigenfunction expansions of the Schrodinger operator (on closed domain)
| Subject | Spectral theory |
| Title | Conditions for uniformly convergence of expansions of continuous functions from Nikolskii classes in eigenfunction expansions of the Schrodinger operator (on closed domain) |
| Author(s) | Anvarjon Ahmedov , Nur Amalina Jamaludin |
| Keywords | Schrodinger operator, Riesz mean, eigenfunction expansion, uniformly convergent. |
| Abstract | In this work the spectral expansions of the Schro ̈dinger operator on closed domain are investigated. Using the asymptotical estimation of spectral function of Schro ̈dinger operator on closed domain uniformly convergence of eigenfunction expansions of continuous functions from Nikolskii classes is proved. Properties of the continuous functions from Nikolskii classes are used. |