Determinacy versus indeterminacy

Snapshots of modern mathematics from 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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Mathematical subjects

Analysis
Probability Theory and Statistics

Connections to other fields

Physics

Author(s)

Christian Berg

License

DOI (Digital Object Identifier)

10.14760/SNAP-2020-004-EN

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snapshots-2020-004.pdf

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Reflections on Mathematics

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