Szego limit theorems
classification
🧮 math.CA
keywords
generallimitszegotheoremallowbeenbump-diaconisdeterminants
read the original abstract
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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