3 papers
math.GM2026
Fourier representations of fractional B Splines via generalized Stirling type polynomials
Damla Gun, Peter Massopust, Yilmaz Simsek
In this paper, we investigate fractional B splines and their connections with Fourier analysis, and establish connections with generalized Stirling-type numbers and distribution th…
math.FA2023
Complex Box Splines
Fabio Marcelo Carvalho dos Santos, Peter Massopust
The novel concept of box spline of complex degree is introduced and several of its properties derived and discussed. These box splines of complex degree generalize and extend the c…
math.FA2016
Fractional and Complex Pseudo-Splines and the Construction of Parseval Frames
Ole Christensen, Brigitte Forster, Peter Massopust
Pseudo-splines of integer order were introduced by Daubechies, Han, Ron, and Shen as a family which allows interpolation between the classical B-splines and the Daubechi…