Szego limit theorems

Details Szego limit theorems Szego limit theorems

2002-05-06

arxiv.org/abs/math/0205052v2

Geom. Funct. Anal. 13 (2003), 574--590

Mathematics

Classical Analysis and ODEs

18 pp

Scientific paper

The first Szego limit theorem has been extended by Bump-Diaconis and
Tracy-Widom to limits of other minors of Toeplitz matrices. We extend their
results still further to allow more general measures and more general
determinants. We also give a new extension to higher dimensions, which extends
a theorem of Helson and Lowdenslager.

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