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Moment Problems and Spectral Functions

Published 11 Feb 2026 in hep-lat and math.CV | (2602.11260v1)

Abstract: Nevanlinna-Pick interpolation and moment problems use the analytic structures provided by causality in order to provide rigorous bounds on smeared spectral functions. This proceedings discusses Nevanlinna-Pick interpolation and moment problems and reviews some useful results, including a simple proof that the space of causal data in Nevanlinna--Pick interpolation is convex.

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