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- W2168694782 abstract "An indefinite generalization of Nudel<inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=prime> <mml:semantics> <mml:msup> <mml:mi /> <mml:mo>′</mml:mo> </mml:msup> <mml:annotation encoding=application/x-tex>’</mml:annotation> </mml:semantics> </mml:math> </inline-formula>man’s problem is used in a systematic approach to interpolation theorems for generalized Schur and Nevanlinna functions with interior and boundary data. Besides known results on existence criteria for Pick-Nevanlinna and Carathéodory-Fejér interpolation, the method yields new results on generalized interpolation in the sense of Sarason and boundary interpolation, including properties of the finite Hilbert transform relative to weights. The main theorem appeals to the Ball and Helton almost-commutant lifting theorem to provide criteria for the existence of a solution to Nudel<inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=prime> <mml:semantics> <mml:msup> <mml:mi /> <mml:mo>′</mml:mo> </mml:msup> <mml:annotation encoding=application/x-tex>’</mml:annotation> </mml:semantics> </mml:math> </inline-formula>man’s problem." @default.
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- W2168694782 date "2002-10-09" @default.
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- W2168694782 title "Notes on interpolation in the generalized Schur class. II. Nudel’man’s problem" @default.
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