Asymptotics of Toeplitz determinants generated by functions with Fourier coefficients in weighted Orlicz sequence classes

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120719We prove asymptotic formulas for Toeplitz determinants generated by functions with sequences of Fourier coefficients belonging to weighted Orlicz sequence classes. We concentrate our attention on the case of nonvanishing generating functions with nonzero Cauchy index.Functional AnalysisClassical Analysis and ODEs47B35, 46E30, 15A15, 47A68Asymptotics of Toeplitz determinants generated by functions with Fourier coefficients in weighted Orlicz sequence classestext