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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PDF

snapshots: overview

Mathematical subjects

Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics

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