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Asymptotic and exact expansions of heat traces
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Asymptotic and exact expansions of heat traces
Bibliographic description
| title: | Asymptotic and exact expansions of heat traces |
| author: | Eckstein Michał  , Zając Artur
|
| Journal title: | Mathematical Physics, Analysis and Geometry |
| volume: | 18 |
| issue: | 1 |
| date of publication: | 2015 |
| article ID: | 28 |
| ISSN: |
1385-0172 |
| eISSN: |
1572-9656 |
| DOI: | |
| language: | English |
| Journal language: | English |
| abstract in english: | We study heat traces associated with positive unbounded operators with compact inverses. With the help of the inverse Mellin transform we derive necessary conditions for the existence of a short time asymptotic expansion. The conditions are formulated in terms of the meromorphic extension of the associated spectral zeta-functions and proven to be verified for a large class of operators. We also address the problem of convergence of the obtained asymptotic expansions. General results are illustrated with a number of explicit examples. |
| keywords in english: | heat traces, asymptotic expansions, spectral theory, zeta-functions, general Dirichlet series |
| number of pulisher's sheets: | 2,9 |
| affiliation: | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego, Wydział Matematyki i Informatyki |
| type: | journal article |
| subtype: | academic paper |
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