Chipman pseudoinverse of matrix, its computation and application in spline theory
Closed universal subspaces of spaces of infinitely differentiable functions
We exhibit the first examples of Fréchet spaces which contain a closed infinite dimensional subspace of universal series, but no restricted universal series. We consider classical Fréchet spaces of infinitely differentiable functions which do not admit a continuous norm. Furthermore, this leads us to establish some more general results for sequences of operators acting on Fréchet spaces with or without a continuous norm. Additionally, we give a characterization of the existence of a closed subspace...
Closure of Similarity Orbits of Hubert Space Operators. III.
Coarse quantization for random interleaved sampling of bandlimited signals
The compatibility of unsynchronized interleaved uniform sampling with Sigma-Delta analog-to-digital conversion is investigated. Let f be a bandlimited signal that is sampled on a collection of N interleaved grids {kT + Tn} k ∈ Zwith offsets T n n = 1 N ⊂ [ 0 ,T ] . If the offsetsTn are chosen independently and uniformly at random from [0,T] and if the sample values of fare quantized with a first order Sigma-Delta algorithm, then with high probability the quantization error | f ( t ) − x10ff65;...
Coarse quantization for random interleaved sampling of bandlimited signals∗∗∗
The compatibility of unsynchronized interleaved uniform sampling with Sigma-Delta analog-to-digital conversion is investigated. Let f be a bandlimited signal that is sampled on a collection of N interleaved grids {kT + Tn} k ∈ Z with offsets . If the offsets Tn are chosen independently and uniformly at random from [0,T] and if the sample values of f are quantized with a first order Sigma-Delta algorithm, then with high probability...
Collision de Biais et Application à l'Interpolation.
Combinatorial algorithms for the interpolation of polynomials in dimension .
Common fixed point and approximation results for noncommuting maps on locally convex spaces.
Common fixed point and invariant approximation results in certain metrizable topological vector spaces.
Common fixed point results and its applications to best approximation in ordered semi-convex structure.
Common fixed points versus invariant approximation in nonconvex sets.
Commutative neutrix convolution products of functions
The commutative neutrix convolution product of the functions and is evaluated for and all . Further commutative neutrix convolution products are then deduced.
Compact operators and approximation spaces
We investigate compact operators between approximation spaces, paying special attention to the limit case. Applications are given to embeddings between Besov spaces.
Compactly Supported Fundamental Functions for Spline Interpolation.
Compactness in approximation spaces
In this paper we give a characterization of the relatively compact subsets of the so-called approximation spaces. We treat some applications: (1) we obtain some convergence results in such spaces, and (2) we establish a condition for relative compactness of a set lying in a Besov space.
Comparative approximation in two topologies
Comparison of Optimal Quadrature Formulas.
Comparison of wavelet approximation order in different smoothness spaces.
Comparison Theorems for Compound Quadrature Formulas.
Comparison Theorems for L-Monosplines of Minimal Norm.