Quasi-spectral decomposition of the heat potential
| dc.contributor.author | Kal'menov, Tynysbek | |
| dc.contributor.author | Arepova, Gaukhar | |
| dc.date.accessioned | 2023-06-16T17:18:34Z | |
| dc.date.available | 2023-06-16T17:18:34Z | |
| dc.date.issued | 2016-03-17 | |
| dc.description.abstract | In this article, by multiplying of the unitary operator (Pƒ) (x,t) = ƒ(x, T - t), 0 ≤ t ≤ T, the heat potential turns into a self-adjoint operator. From the spectral decomposition of this completely continuous self-adjoint operator we obtain a quasi-spectral decomposition of the heat potential operator. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 4 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Kal'menov, T. S., & Arepova, G. D. (2016). Quasi-spectral decomposition of the heat potential. <i>Electronic Journal of Differential Equations, 2016</i>(76), pp. 1-4. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16948 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Heat potential | |
| dc.subject | Quasi-spectral decomposition | |
| dc.subject | Self-adjoint operator | |
| dc.subject | Unitary operator | |
| dc.subject | The fundamental solution | |
| dc.title | Quasi-spectral decomposition of the heat potential | |
| dc.type | Article |