Division of distributions by locally definable quasianalytic functions

• Autorzy: Nowak K. J.
• Języki publikacji: EN

Abstrakty

EN

We demonstrate that the Łojasiewicz theorem on the division of distributions by analytic functions carries over to the case of division by quasianalytic functions locally definable in an arbitrary polynomially bounded, o-minimal structure which admits smooth cell decomposition. Hence, in particular, the principal ideal generated by a locally definable quasianalytic function is closed in the Frechet space of smooth functions.

Słowa kluczowe

EN

distributions; closed ideals; quasianalytic functions; polynomially bounded structures; smooth stratifications

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2010
• Tom: Vol. 58, no 3
• Strony: 201--208
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Nowak K. J.

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland,

Bibliografia

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• [15] K. J. Nowak, Semicoherent quasi-subanalytic sets and the composite function property, in preparation.
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