Moment Problems and Spectral Functions
High Energy Physics - Lattice
2026-02-13 v1 Complex Variables
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.
Cite
@article{arxiv.2602.11260,
title = {Moment Problems and Spectral Functions},
author = {Ryan Abbott and William Jay and Patrick Oare},
journal= {arXiv preprint arXiv:2602.11260},
year = {2026}
}
Comments
7 pages, Contribution to the 42nd International Symposium on Lattice Field Theory (LATTICE2025), 2-8 November 2025, Tata Institute of Fundamental Research, Mumbai, India