Add to ORKGFor the Schoenberg B-splines, interesting relations between their functional representation, Dirichlet averages and difference operators are known. We use these relations to extend the B-splines to an arbitrary (infinite) sequence of knots and to higher dimensions. A new Fourier domain representation of the multidimensional complex B-spline is given
AbstractA relation between univariate trigonometric and polynomial B-splines is extended to higher d...
AbstractThe problem of determining the moments and the Fourier transforms of B-splines with arbitrar...
AbstractWe propose a complex generalization of Schoenberg's cardinal splines. To this end, we go bac...
For the Schoenberg (polynomial) B-splines, interesting relations between their functional representa...
The notion of a complex B-spline is extended to a multivariate setting by means of ridge functions e...
Abstract. The notion of complex B-spline is extended to a multivariate set-ting by means of ridge fu...
We extend the notion of complex B-splines to a multivariate setting by employing the relationship be...
AbstractProperties of Dirichlet averages are used to derive some well-known and some new properties ...
A relation between double Dirichlet averages and multivariate complex B-splines is presented. Based ...
AbstractThe notion of a complex B-spline is extended to a multivariate setting by means of ridge fun...
AbstractWe propose a complex generalization of Schoenberg's cardinal splines. To this end, we go bac...
AbstractProperties of Dirichlet averages are used to derive some well-known and some new properties ...
Using Dirichlet averages we generalize the notion of a classical divided difference of a function by...
Complex B-splines as introduced in Forster et al. (Appl. Comput. Harmon. Anal. 20: 281-282, 2006) ar...
This paper is concerned with some aspects of the theory and application of splines with special emph...
AbstractA relation between univariate trigonometric and polynomial B-splines is extended to higher d...
AbstractThe problem of determining the moments and the Fourier transforms of B-splines with arbitrar...
AbstractWe propose a complex generalization of Schoenberg's cardinal splines. To this end, we go bac...
For the Schoenberg (polynomial) B-splines, interesting relations between their functional representa...
The notion of a complex B-spline is extended to a multivariate setting by means of ridge functions e...
Abstract. The notion of complex B-spline is extended to a multivariate set-ting by means of ridge fu...
We extend the notion of complex B-splines to a multivariate setting by employing the relationship be...
AbstractProperties of Dirichlet averages are used to derive some well-known and some new properties ...
A relation between double Dirichlet averages and multivariate complex B-splines is presented. Based ...
AbstractThe notion of a complex B-spline is extended to a multivariate setting by means of ridge fun...
AbstractWe propose a complex generalization of Schoenberg's cardinal splines. To this end, we go bac...
AbstractProperties of Dirichlet averages are used to derive some well-known and some new properties ...
Using Dirichlet averages we generalize the notion of a classical divided difference of a function by...
Complex B-splines as introduced in Forster et al. (Appl. Comput. Harmon. Anal. 20: 281-282, 2006) ar...
This paper is concerned with some aspects of the theory and application of splines with special emph...
AbstractA relation between univariate trigonometric and polynomial B-splines is extended to higher d...
AbstractThe problem of determining the moments and the Fourier transforms of B-splines with arbitrar...
AbstractWe propose a complex generalization of Schoenberg's cardinal splines. To this end, we go bac...