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Determinacy versus indeterminacy

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Analysis
Wahrscheinlichkeitstheorie und Statistik

Verbindung zu anderen Gebieten

Physik

Autor(en)

Christian Berg

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2020-004-EN

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snapshots-2020-004.pdf

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