Talk:Blaschke product

Simplification
The recent edits removed the following text:


 * Remark: It can be shown that the last of the three properties listed above entails the other two. The first is a consequence of the Maximum modulus principle for analytic functions, the second property can be deduced from the so-called identity principle which states that the set of zeros of a function holomorphic in a domain D in $$ \mathbb{C} $$ is a discrete subset of D. If there were infinitely many zeros they would have an accumulation point (necessarily) on the boundary unit circle which contradicts the assumption that &fnof; is continuous on the closed unit disc.

I don't see that this paragraph was so evil; it does provide a certain amount of "intuitive insight" that is not otherwise immediately apparent. Could some variant of this be put back? (The "other two" properties being boundedness, and a finite number of zeros). Why was this section cut? Too loose/vague? Other reasons?

There's also the infinite Blaschke product, which I was daydreaming about adding to this article ... the above would help establish a contrast the inf. product. linas (talk) 03:25, 17 November 2008 (UTC)


 * Minor simplification, removing redundant conditions. Reverting OK. r.e.b. (talk) 03:57, 17 November 2008 (UTC)

Assessment comment
Substituted at 01:49, 5 May 2016 (UTC)