Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2537

 Title: On Connection between Characterestic Functions and the Caratheodori Class Functions Authors: Zolotarev, Vladimir A.Hatamleh, Raéd Keywords: Characterestic FunctionCaratheodori Class FunctionColligationHomographic Transformation Issue Date: 2006 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 32, No 4, (2006), 289p-302p Abstract: Connection of characteristic functions S(z) of nonunitary operator T with the functions of Caratheodori class is established. It was demonstrated that the representing measures from integral representation of the function of Caratheodori's class are defined by restrictions of spectral measures of unitary dilation, of a restricted operator T on the corresponding defect subspaces. Description: 2000 Mathematics Subject Classification: 47A65, 45S78. URI: http://hdl.handle.net/10525/2537 ISSN: 1310-6600 Appears in Collections: Volume 32, Number 4

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