Sampling of Band-Limited Vectors.
Sard's approximation processes and oblique projections
Three problems arising in approximation theory are studied. These problems have already been studied by Arthur Sard. The main goal of this paper is to use geometrical compatibility theory to extend Sard's results and get characterizations of the sets of solutions.
Saturation auf kompakten Gruppen und kompakten symmetrischen Räumen.
Semigroup-theoretical proofs of the central limit theorem and other theorems of analysis.
Sharp summability for Monge transport density via interpolation
Using some results proved in De Pascale and Pratelli [Calc. Var. Partial Differ. Equ. 14 (2002) 249-274] (and De Pascale et al. [Bull. London Math. Soc. 36 (2004) 383-395]) and a suitable interpolation technique, we show that the transport density relative to an source is also an function for any .
Sharp summability for Monge Transport density via Interpolation
Using some results proved in De Pascale and Pratelli [Calc. Var. Partial Differ. Equ.14 (2002) 249-274] (and De Pascale et al. [Bull. London Math. Soc.36 (2004) 383-395]) and a suitable interpolation technique, we show that the transport density relative to an Lp source is also an Lp function for any .
Slice-products in bivariate approximation
Smooth and analytic solutions for analytic linear systems.
We give some approximation theorems in the Whitney topology for a general class of analytic fiber bundles. This leads to a classification theorem which generalizes the classical ones.
Smooth measures, the Malliavin calculus and approximations in infinitedimensional spaces
Smoothing and interpolation in a convex subset of a Hilbert space : II. The semi-norm case
sobre el teorema de interpolación de Borel en espacios de Hilbert
Some approximation problems in semi-algebraic geometry
In this paper we deal with a best approximation of a vector with respect to a closed semi-algebraic set C in the space ℝⁿ endowed with a semi-algebraic norm ν. Under additional assumptions on ν we prove semi-algebraicity of the set of points of unique approximation and other sets associated with the distance to C. For C irreducible algebraic we study the critical point correspondence and introduce the ν-distance degree, generalizing the notion developed by other authors for the Euclidean norm. We...
Some characterizations of best approximations
Some convergence results on sinc interpolation.
Some Fixed Point Theorems And Their Applications To Best Simultaneous Approximations
Some geometric properties of typical compact convex sets in Hilbert spaces
An investigation is carried out of the compact convex sets X in an infinite-dimensional separable Hilbert space , for which the metric antiprojection from e to X has fixed cardinality n+1 ( arbitrary) for every e in a dense subset of . A similar study is performed in the case of the metric projection from e to X where X is a compact subset of .
Some properties of the interpolating spline-functions space
Some Remarks on M-convexity and Best Approximation
Some Result About Approximation Of Sets By Finite Sets In Normed Spaces
Some results on 2-inner product spaces.