On the Helmholtz operator for Euler morphisms
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Rok publikování | 2003 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Math. Proc. Camb. Phil. Soc. |
Fakulta / Pracoviště MU | |
Citace | KOLÁŘ, Ivan a Raffaele VITOLO. On the Helmholtz operator for Euler morphisms. Math. Proc. Camb. Phil. Soc. 2003, roč. 135, č. 3, s. 277-290. ISSN 0305-0041. |
Obor | Obecná matematika |
Klíčová slova | Euler morphism; Helmholtz operator; natural operator |
Popis | The variational sequence describes the Helmholtz conditions for local variationality in terms of the Helmholtz map, which is defined on a factor space. We study a tensor modification called the Helmholtz operator. For the first and second order cases we prove that, up to a multiplicative constant, the Helmholtz operator is the unique natural operator of the type in question. |
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