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Approximating the
modulus of an inner function
Geir Arne Hjelle and Artur Nicolau |
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Vol. 228 (2006), No. 1, 103–118
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Abstract |
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We show that the modulus of an inner function can be uniformly approximated in the unit disk by the modulus of an interpolating Blaschke product. |
Keywords
interpolating Blaschke product, Carleson contour,
discretization, inner function, modulus
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Mathematical Subject Classification 2000
Primary: 30D50, 30E10
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Milestones
Received: 4 October 2005
Accepted: 2 November 2005
Published: 1 November 2006
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Authors |
| Geir Arne Hjelle | |
| Department of Mathematical
Sciences Norwegian University of Science and Technology 7491 Trondheim Norway |
Department of Mathematics Washington University St. Louis, MO 63130 United States |
| http://www.math.wustl.edu/~hjelle/ | |
| Artur Nicolau | |
| Departament de Matemàtiques Universitat Autònoma de Barcelona 08193 Bellaterra, Barcelona Spain |
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| http://mat.uab.es/~artur/ | |
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