Blaschke product

In complex analysis, the Blaschke product is a bounded analytic function in the open unit disc constructed to have zeros at a (finite or infinite) sequence of prescribed complex numbers In complex analysis, the Blaschke product is a bounded analytic function in the open unit disc constructed to have zeros at a (finite or infinite) sequence of prescribed complex numbers inside the unit disc. Blaschke products were introduced by Wilhelm Blaschke (1915). They are related to Hardy spaces. A sequence of points ( a n ) {displaystyle (a_{n})} inside the unit disk is said to satisfy the Blaschke condition when