Determinacy versus indeterminacy

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Date
2020
Volume
4/2020
Issue
Journal
Series Titel
Snapshots of Modern Mathematics from Oberwolfach
Book Title
Publisher
Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach gGmbH
Abstract

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.

Description
Keywords
Analysis, Probability Theory and Statistics
Citation
Berg, C. (2020). Determinacy versus indeterminacy. Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach gGmbH. https://doi.org//10.14760/SNAP-2020-004-EN
License
CC BY-SA 4.0 Unported