We present a map H -- H?that assigns to each finite-dimensional space of smooth functions a homogeneous polynomial space of the same dimension. We discuss applications of this map in the areas of multivariate polynomial interpolation, box spline theory and polynomial ideals
We study those smooth complex hypersurfaces W in Cn having the property that all holomorphic functio...
AbstractLet Δ denote the triangulation of the plane obtained by multi-integer translates of the four...
AbstractConnections between the shape of the unit ball of a Banach space and analytic properties of ...
The polynomial space H in the span of the integer translates of a box spline M admits a well-known c...
A class of spaces of multivariate polynomials, closed under differentiation, is studied and correspo...
Abstract. In this paper I treat the problem of determining the dimension of the vector space of homo...
One of the problems in bivariate polynomial interpolation is the choice of a space of polynomials su...
AbstractWe investigate the relation between an ideal I of finite codimension in the space π of multi...
AbstractWe investigate projections of homogeneous polynomial vector fields to level sets of homogene...
AbstractLagrange interpolation by finite-dimensional spaces of uni- and multivariate generalized spl...
AVe-iftvestigatehere the relations between an ideal I of finite codimension in the space of multivar...
Given a Banach space E and positive integers k and l we investigate the smallest constant C that sat...
International audienceThis note provides an approximate version of the Hahn–Banach theorem for non-n...
AbstractLetXbe a Banach space whose dualX* has typep∈(1,2]. Ifmis an integer greater thanp/(p−1) and...
We study the uniqueness of norm-preserving extension of n-homogeneous polynomials in Banach spaces. ...
We study those smooth complex hypersurfaces W in Cn having the property that all holomorphic functio...
AbstractLet Δ denote the triangulation of the plane obtained by multi-integer translates of the four...
AbstractConnections between the shape of the unit ball of a Banach space and analytic properties of ...
The polynomial space H in the span of the integer translates of a box spline M admits a well-known c...
A class of spaces of multivariate polynomials, closed under differentiation, is studied and correspo...
Abstract. In this paper I treat the problem of determining the dimension of the vector space of homo...
One of the problems in bivariate polynomial interpolation is the choice of a space of polynomials su...
AbstractWe investigate the relation between an ideal I of finite codimension in the space π of multi...
AbstractWe investigate projections of homogeneous polynomial vector fields to level sets of homogene...
AbstractLagrange interpolation by finite-dimensional spaces of uni- and multivariate generalized spl...
AVe-iftvestigatehere the relations between an ideal I of finite codimension in the space of multivar...
Given a Banach space E and positive integers k and l we investigate the smallest constant C that sat...
International audienceThis note provides an approximate version of the Hahn–Banach theorem for non-n...
AbstractLetXbe a Banach space whose dualX* has typep∈(1,2]. Ifmis an integer greater thanp/(p−1) and...
We study the uniqueness of norm-preserving extension of n-homogeneous polynomials in Banach spaces. ...
We study those smooth complex hypersurfaces W in Cn having the property that all holomorphic functio...
AbstractLet Δ denote the triangulation of the plane obtained by multi-integer translates of the four...
AbstractConnections between the shape of the unit ball of a Banach space and analytic properties of ...