A construction of biorthogonal functions to B-splines with multiple knots
The author constructs a refinable compactly supported function vector which is biorthogonal to the vector of B-splines of given degree with multiple integer knots. This construction is based on Hermite-type interpolatory subdivision schemes, and the relation between B-splines and divided differences. First, the author proves the biorthogonality property and then the refinability property. The special (scalar) case of B-splines with simple knots is treated separately.
Hermite-type interpolatory subdivision schemes
scientific article; zbMATH DE number 1415637
scientific article