Determinacy versus indeterminacy

Instantáneas de la actualidad matemática desde 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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Área matemática

Análisis
Teoría de la probabilidad y Estadística

Relaciones con otros campos

Física

Autor(es)

Christian Berg

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2020-004-EN

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snapshots-2020-004.pdf

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