23 citations · 72 across the 27 of their papers we have counts for
5 papers · 1 filter
Analytic functions in shift-invariant spaces and analytic limits of level dependent subdivision
Maria Charina, Vladimir Yu. Protasov
The structure of exponential subspaces of finitely generated shift-invariant spaces is well understood and the role of such subspaces for the approximation power of refinable funct…
Regularity of anisotropic refinable functions
Maria Charina, Vladimir Yu. Protasov
This paper presents a detailed regularity analysis of anisotropic wavelet frames and subdivision. In the univariate setting, the smoothness of wavelet frames and subdivision is wel…
Limits of level and parameter dependent subdivision schemes: a matrix approach
Maria Charina, Costanza Conti, Nicola Guglielmi +1
In this paper, we present a new matrix approach for the analysis of subdivision schemes whose non-stationarity is due to linear dependency on parameters whose values vary in a comp…
Invariant polytopes of linear operators with applications to regularity of wavelets and of subdivisions
Nicola Guglielmi, Vladimir Yu. Protasov
We generalize the recent invariant polytope algorithm for computing the joint spectral radius and extend it to a wider class of matrix sets. This, in particular, makes the algorith…
Regularity of Non-Stationary Multivariate Subdivision
Maria Charina, Costanza Conti, Nicola Guglielmi +1
In this paper, we study scalar multivariate non-stationary subdivision schemes with integer dilation matrix M=mI, m >=2, and present a general approach for checking their convergen…