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Minimization of the energy functional on a special class of unitary operators

โœ Scribed by B. I. Zhilinskii; N. F. Stepanov


Book ID
112461606
Publisher
SP MAIK Nauka/Interperiodica
Year
1973
Tongue
English
Weight
246 KB
Volume
15
Category
Article
ISSN
0040-5779

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In this paper we prove that the simplest band representations of unitary operators on a Hilbert space are five-diagonal. Orthogonal polynomials on the unit circle play an essential role in the development of this result, and also provide a parameterization of such five-diagonal representations which