Orthogonal functions in H∞
نویسندگان
چکیده
منابع مشابه
Orthogonal Functions in H
We construct examples of H functions f on the unit disk such that the push-forward of Lebesgue measure on the circle is a radially symmetric measure μf in the plane, and we characterize which symmetric measures can occur in this way. Such functions have the property that { f n} is orthogonal in H2, and provide counterexamples to a conjecture of W. Rudin, independently disproved by Carl Sundberg...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2005
ISSN: 0030-8730
DOI: 10.2140/pjm.2005.220.1