Artículo
Distribution symmetry of toral eigenfunctions
Autor/es | Martínez, Ángel D.
Torres de Lizaur, Francisco Javier |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2021-12-14 |
Fecha de depósito | 2023-04-25 |
Publicado en |
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Resumen | In this paper we study a number of conjectures on the behavior of the value distribution of eigenfunctions. On the two dimensional torus, we observe that the symmetry conjecture holds in the strongest possible sense. On ... In this paper we study a number of conjectures on the behavior of the value distribution of eigenfunctions. On the two dimensional torus, we observe that the symmetry conjecture holds in the strongest possible sense. On the other hand, we provide a counterexample for higher dimensional tori, which relies on a computer-assisted argument. Moreover we prove a theorem on the distribution symmetry of a certain class of trigonometric polynomials that might be of independent interest. |
Cita | Martínez, Á.D. y Torres de Lizaur, F.J. (2021). Distribution symmetry of toral eigenfunctions. REVISTA MATEMATICA IBEROAMERICANA, 38 (4), 1371-1382. https://doi.org/10.4171/RMI/1324. |
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