Determinacy versus indeterminacy

Instantanés de recherche mathématique à Oberwolfach

Determinacy versus indeterminacy

Can a continuous function on an interval be uniquely determined if we know all the integrals of the function against the natural powers of the variable? Following Weierstrass and Stieltjes, we show that the answer is yes if the interval is finite, and no if the interval is infinite.

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Sujet mathématique

Analyse
Théorie des probabilités et statistique

Liens avec d'autres domaines

Physique

Auteur(s)

Christian Berg

Licence

DOI

10.14760/SNAP-2020-004-EN

Télécharger PDF

snapshots-2020-004.pdf

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Sujet mathématique

Algèbre et théorie des nombres
Analyse
Pédagogie et éducation
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Pensées mathématiques

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