info:eu-repo/semantics/article
Tchakaloff’s theorem and k-integral polynomials in Banach spaces
Fecha
2017-08Registro en:
Pinasco, Damian; Zalduendo, Ignacio Martin; Tchakaloff’s theorem and k-integral polynomials in Banach spaces; American Mathematical Society; Proceedings of the American Mathematical Society; 145; 8; 8-2017; 3395-3408
0002-9939
CONICET Digital
CONICET
Autor
Pinasco, Damian
Zalduendo, Ignacio Martin
Resumen
Tchakaloff’s theorem gives a quadrature formula for polynomials of a given degree with respect to a compactly supported positive measure which is absolutely continuous with respect to Lebesgue measure. We study the validity of two possible analogues of Tchakaloff’s theorem in an infinite-dimensional Banach space E: a weak form valid when E has a Schauder basis, and a stronger form requiring conditions on the support of the measure as well as on the space E.