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

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

2006-12-27

arxiv.org/abs/math/0612787v1

Mathematics

Functional Analysis

Scientific paper

We 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.

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