4 papers · 1 filter
Multivariate compactly supported functions by subdivision
Maria Charina, Costanza Conti, Nira Dyn
This paper discusses the generation of multivariate functions with compact small supports by subdivision schemes. Following the construction of such a univariate functio…
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…
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…
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.…