摘要 : In the study of the cyclicity of a function f in reproducing kernel Hilbert spaces an important role is played by sequences of polynomials {p(n)}(n is an element of N )called optimal polynomial approximants (o.p.a.). For many such... 展开 In the study of the cyclicity of a function f in reproducing kernel Hilbert spaces an important role is played by sequences of polynomials {p(n)}(n is an element of N )called optimal polynomial approximants (o.p.a.). For many such spaces and when the functions f generating those o.p.a. are polynomials without zeros inside the disk but with some zeros on its boundary, we find that the weakly asympotic distribution of the zeros of 1 - p(n) f is the uniform measure on the unit circle. 收起