The Szego curve, zero distribution and weighted approximation
نویسندگان
چکیده
منابع مشابه
The Szegő Curve, Zero Distribution and Weighted Approximation
In 1924, Szegő showed that the zeros of the normalized partial sums, sn(nz), of ez tended to what is now called the Szegő curve S, where S := { z ∈ C : |ze1−z| = 1 and |z| ≤ 1 } . Using modern methods of weighted potential theory, these zero distribution results of Szegő can be essentially recovered, along with an asymptotic formula for the weighted partial sums {esn(nz)}n=0. We show that G := ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1997
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-97-01889-8