Sign up ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Where i can find any proof of next theorem?

Theorem of Ostrowski: Let $\sum_{n=0}^{\infty}a_nz^n$ be a power series with radius of convergence 1, which is analytically continuable beyond unit disk. Then the power series is overconvergent if it possesses Hadamard-Ostrowski gaps.

share|cite|improve this question

1 Answer 1

up vote 3 down vote accepted

In English, in the book by P. Dienes, The Taylor series, Dover, NY, 1957. In German: in the original A. Ostrowski's paper.

share|cite|improve this answer
Thank you Alexandre :) – Budget Mar 14 '13 at 19:31
@Alexandre, Can you give a reference for the Ostrowski paper? – Drew Armstrong May 23 '13 at 17:38

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.