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        general >> complex analysis >> Blaschke product
        
(Message started by: John on Feb 5^th, 2004, 9:13pm)

Title: Blaschke product
Post by John on Feb 5^th, 2004, 9:13pm

Let {a_j}[subseteq]D satisfy [sum]1-|a_j|< [infty] and let B(z) be the corresponding Blaschke product. Let P [in] [partial]D. Prove that B has a continuous extension to P if and only if P is not an accumulation point of the a_j's.

I'll appreciate any help of this problem.

Title: Re: Blaschke product
Post by Icarus on Feb 5^th, 2004, 9:26pm

I'm sure you would, but since I have never heard of the "Blaschke product" before, and neither has my main reference, I have no help to give. :(

Title: Re: Blaschke product
Post by towr on Feb 6^th, 2004, 1:02am

on 02/05/04 at 21:26:43, Icarus wrote:

I'm sure you would, but since I have never heard of the "Blaschke product" before, and neither has my main reference, I have no help to give. :(

Your main reference isn't mathworld?
http://mathworld.wolfram.com/BlaschkeProduct.html

not that it enables me to be of any further use..