On Summability of Spectral Expansions Corresponding to the Sturm-Liouville Operator
We study the completeness property and the basis property of the root function system of the Sturm-Liouville operator defined on the segment [0, 1]. All possible types of two-point boundary conditions are considered.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/843562 |
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Article |
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doaj-06ddc2839a4e4a90b6bd79b6a6e817722020-11-25T00:55:13ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/843562843562On Summability of Spectral Expansions Corresponding to the Sturm-Liouville OperatorAlexander S. Makin0Moscow State University of Instrument Engineering and Computer Science, Stromynka 20, Moscow 107996, RussiaWe study the completeness property and the basis property of the root function system of the Sturm-Liouville operator defined on the segment [0, 1]. All possible types of two-point boundary conditions are considered.http://dx.doi.org/10.1155/2012/843562 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Alexander S. Makin |
| spellingShingle |
Alexander S. Makin On Summability of Spectral Expansions Corresponding to the Sturm-Liouville Operator International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Alexander S. Makin |
| author_sort |
Alexander S. Makin |
| title |
On Summability of Spectral Expansions Corresponding to the Sturm-Liouville Operator |
| title_short |
On Summability of Spectral Expansions Corresponding to the Sturm-Liouville Operator |
| title_full |
On Summability of Spectral Expansions Corresponding to the Sturm-Liouville Operator |
| title_fullStr |
On Summability of Spectral Expansions Corresponding to the Sturm-Liouville Operator |
| title_full_unstemmed |
On Summability of Spectral Expansions Corresponding to the Sturm-Liouville Operator |
| title_sort |
on summability of spectral expansions corresponding to the sturm-liouville operator |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2012-01-01 |
| description |
We study the completeness property and the basis property of the root function system of the Sturm-Liouville operator defined on the segment [0, 1]. All possible types of two-point boundary conditions are considered. |
| url |
http://dx.doi.org/10.1155/2012/843562 |
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AT alexandersmakin onsummabilityofspectralexpansionscorrespondingtothesturmliouvilleoperator |
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1725231357735469056 |