Boundary interpolation and approximation by infinite Blaschke products
نویسندگان
چکیده
منابع مشابه
Boundary Interpolation by Finite Blaschke Products
Given 2n distinct points z1, z′ 1, z2, z ′ 2, . . . , zn, z ′ n (in this order) on the unit circle, and n points w1, . . . , wn on the unit circle, we show how to construct a Blaschke product B of degree n such that B(zj) = wj for all j and, in addition, B(z′ j) = B(z ′ k) for all j and k. Modifying this example yields a Blaschke product of degree n− 1 that interpolates the zj ’s to the wj ’s. ...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 2010
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-15157