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Zeitschrift für Analysis und ihre Anwendungen


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Volume 16, Issue 2, 1997, pp. 249–261
DOI: 10.4171/ZAA/762

Published online: 1997-06-30

The Character-Automorphic Nehari Problem: Non-Uniqueness Criterion and some Extremal Solutions

Peter Yuditskii[1]

(1) Johannes Kepler University Linz, Austria

A non-uniqueness criterion for the character-automorphic Nehari problem is given. Certain subclass of solutions, connected with "the entropy functional" of the problem, is described. The description yields a character-automorphic counterpart of the Adamyan-Arov-Krein theorem.

Keywords: Fuchsian group of Widom type, direct Cauchy theorem, character-automorphic Hardy classes, Nehari problem

Yuditskii Peter: The Character-Automorphic Nehari Problem: Non-Uniqueness Criterion and some Extremal Solutions. Z. Anal. Anwend. 16 (1997), 249-261. doi: 10.4171/ZAA/762