Determinacy versus indeterminacy

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Date

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.

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License

CC BY-SA 4.0 Unported