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Shift operators contained in contractions and pseudocontinuable matrixvalued Schur functions
Author(s) -
Boiko S. S.,
Dubovoy V. K.,
Fritzsche Bernd,
Kirstein Bernd
Publication year - 2005
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310272
Subject(s) - mathematics , unit disk , operator (biology) , schur's theorem , pure mathematics , shift operator , function (biology) , unit (ring theory) , combinatorics , compact operator , classical orthogonal polynomials , biochemistry , chemistry , gegenbauer polynomials , repressor , evolutionary biology , biology , computer science , transcription factor , extension (predicate logic) , orthogonal polynomials , gene , programming language , mathematics education
We show that the pseudocontinuability of a matrix‐valued Schur function θ in the unit disk is completely determined by the properties of the maximal shift and maximal coshift contained in a corresponding contractive operator T which has the characteristic operator function θ.