Volume 518 - The 42nd International Symposium on Lattice Field Theory (LATTICE2025) - Parallel Session Theoretical developments and applications beyond Standard Model
Moment problems and spectral functions
R. Abbott*, W. Jay and P. Oare
*: corresponding author
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Pre-published on: July 15, 2026
Published on: —
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.
DOI: https://doi.org/10.22323/1.518.0146
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