Spectral Riesz-Cesaro means: How the square root function helps us to see around the world
| Autor: | S. A. Fulling, E. V. Gorbar, C. T. Romero |
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| Jazyk: | angličtina |
| Rok vydání: | 2000 |
| Předmět: | |
| Zdroj: | Electronic Journal of Differential Equations, Vol Conference, Iss 04, Pp 87-101 (2000) |
| Druh dokumentu: | article |
| ISSN: | 1072-6691 95438556 |
| Popis: | The heat-kernel expansion for a nonanalytic function of a differential operator, and the integrated (Cesà ro-smoothed) spectral densities associated with the corresponding nonanalytic function of the spectral parameter, exhibit a certain nonlocal behavior. Because of this phenomenon, care is needed in applying the pseudodifferential symbolic calculus to nonanalytic functions. We demonstrate this effect by both analytical and numerical calculations for the square root of the Laplace operator in the model of a "twisted" scalar field over the circle. This shows that the effect cannot be attributed solely to boundaries. |
| Databáze: | Directory of Open Access Journals |
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