2 papers
math.CA2026
Compactly supported, orthogonal, continuous piecewise polynomial multiresolution analysis
Lidia Fernández, Jeffrey S. Geronimo, Plamen Iliev
We present explicit representations in terms of hypergeometric functions for the scaling functions in the orthogonal multiresolution analyses associated with piecewise contin…
math.CA2026
Bernstein-SzegÅ measures in the plane
Jeffrey S. Geronimo, Plamen Iliev
We define a class of Bernstein-SzegÅ measures on and we establish their spectral properties, providing a natural extension of the one-dimensional theory. We also de…