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math.CA2026
Walsh Analysis in the Twenty-First Century: Convergence, Summability, Nonlinear Approximation, Universality, and Digital Applications
Sergo A. Episkoposian
Walsh analysis connects ordered Fourier convergence, summability, nonlinear approximation, and universal representation through a common character algebra. This survey examines dev…
math.CA2026
Diagonal and branchwise criteria for universal Fourier series
Sergo A. Episkoposian
We characterize diagonal profiles admitting universal real trigonometric Fourier series with factors in and , , $1\le…