Theorems of Szegö-Verblunsky type in the multivariate and almost periodic settings

DOI10.1016/j.jat.2023.105884OpenAlexW4324045199WikidataQ122149124 ScholiaQ122149124MaRDI QIDQ2699941

Peter C. Gibson

Publication date: 20 April 2023

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.10334

zbMATH Keywords

orthogonal polynomialsalmost periodic functionsholomorphic functions of several variablesone-dimensional Schrödinger equationSzegö's theorem

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Classical almost periodic functions, mean periodic functions (42A75) (H^p)-spaces (42B30) Holomorphic functions of several complex variables (32A10) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Harmonic analysis on Euclidean spaces (42-XX) Approximations and expansions (41-XX)

Cites Work

• Prediction theory and Fourier series in several variables
• Ergodic theorems. With a supplement by Antoine Brunel
• Fourier expansion of disk automorphisms via scattering in layered media
• Force free Möbius motions of the circle
• On the first trace formula for Schrödinger operators
• Wave propagation and time reversal in randomly layered media.
• Disk polynomials and the one-dimensional wave equation
• On the trigonometric moment problem
• A geometry where everything is better than nice
• Inverse scattering on the line
• OPUC on one foot
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