3 papers
math.NA2022
Reproduction Capabilities of Penalized Hyperbolic-polynomial Splines
Rosanna Campagna, Costanza Conti
This paper investigates two important analytical properties of hyperbolic-polynomial penalized splines, HP-splines for short. HP-splines, obtained by combining a special type of di…
math.NA2020
Annihilation Operators for Exponential Spaces in Subdivision
Costanza Conti, Sergio Lopez-Urena, Lucia Romani
We investigate properties of differential and difference operators annihilating certain finite-dimensional subspaces of exponential functions in two variables that are connected to…
math.NA2018
Stirling numbers and Gregory coefficients for the factorization of Hermite subdivision operators
Caroline Moosmüller, Svenja Hüning, Costanza Conti
In this paper we present a factorization framework for Hermite subdivision schemes refining function values and first derivatives, which satisfy a spectral condition of high order.…