iven
satisfying the definition (
QMF conditions
) on
may construct the auxiliary function (see the proposition
(
Scaling
equation
))
If the scaling function
exists then it would
satisfy
Then, assuming convergence of the
product,
Proposition
(Convergence of product) If the series
converge absolutely then the product
converges absolutely.
Proposition
A QMF
is finite if and only if
has finite support.
