Citation
Jamaludin, Nur Amalina and Ahatjonovich, Anvarjon Ahmedov
(2014)
Conditions for uniformly convergence of expansions of continuous functions from Nikolskii classes in eigenfunction expansions of the Schrödinger operator on closed domain.
In: 2nd International Conference on Analysis and Applied Mathematics (ICAAM 2014), 11-13 Sept. 2014, Shymkent, Kazakhstan. (pp. 43-45).
Abstract
In this work, spectral expansions of the Schrödinger operator −Δ+q(y1,y2) with the singular potential from W12(Ω) are investigated. Using the asymptotical estimation of spectral function of Schrödinger 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.
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Engineering Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1063/1.4893801 |
| Publisher: | AIP Publishing LLC |
| Keywords: | Eigenfunction expansions; Operator theory; Riesz mean; Schrödinger operator; Uniformly convergence |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 27 Sep 2017 09:41 |
| Last Modified: | 27 Sep 2017 09:41 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4893801 |
| URI: | http://psasir.upm.edu.my/id/eprint/57413 |
| Statistic Details: | View Download Statistic |
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