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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

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snapshots-2020-004.pdf

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      Sujet mathématique

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      Analyse
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      Calcul numérique et calcul scientifique
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      Liens avec d'autres domaines

      Chimie et sciences de la terre
      Informatique
      Ingénierie et technologie
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      Sciences de la vie
      Physique
      Pensées mathématiques

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