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Pré-Publication, Document De Travail Année : 2024

Extremal determinants: the periodic one-dimensional essentially bounded case *

Résumé

The functional determinant of elliptic differential operators on the circle was introduced in [3]. In the present paper, optimisation of this determinant over essentially bounded functions is studied. In the one dimensional case, existence and uniqueness of maximisers and minimisers is proved.
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Dates et versions

hal-04444309 , version 1 (07-02-2024)
hal-04444309 , version 2 (08-02-2024)

Identifiants

  • HAL Id : hal-04444309 , version 2

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Jean-Baptiste Caillau, Yacine Chitour, Pedro Freitas, Yannick Privat. Extremal determinants: the periodic one-dimensional essentially bounded case *. 2024. ⟨hal-04444309v2⟩
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