AbstractWe consider interpolation of discrete functions by continuous ones with restriction on the size of spectra. We discuss a sharp contrast between the cases of compact and unbounded spectra. In particular we construct ‘universal’ spectra of small measure which deliver positive solution of the interpolation problem in Bernstein spaces for every discrete sequence of knots
We study spectral properties of operators on logarithmic perturbations of the real interpolation spa...
AbstractLet s≤1 be an integer, φ: Rs→R be a compactly supported function, and S(φ) denote the linear...
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are ...
Let Λ⊂R be a uniformly discrete sequence and S⊂R a compact set. We prove that if there exists a boun...
AbstractStein's theorem on the interpolation of a family of operators between two analytic spaces is...
We consider the imbeddings of the l 2 sequence spaces defined on ddimensional lattices into the spac...
An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions...
We consider interpolation inequalities for imbeddings of the l 2-sequence spaces over d-dimensional ...
The classical sampling problem is to reconstruct entire functions with given spectrum S from their v...
An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions...
An analogue of the notion of uniformly separated sequences, ex-pressed in terms of extremal function...
Some relations between the spectral theory for linear operators and the complex theory of interpolat...
AbstractSome relations between the spectral theory for linear operators and the complex theory of in...
Nous étudions des problèmes d'interpolation dans des espaces de fonctions analytiques et notamment l...
Let s ≥ 1 be an integer, φ: R s → R be a compactly supported function, and S(φ) denote the linear sp...
We study spectral properties of operators on logarithmic perturbations of the real interpolation spa...
AbstractLet s≤1 be an integer, φ: Rs→R be a compactly supported function, and S(φ) denote the linear...
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are ...
Let Λ⊂R be a uniformly discrete sequence and S⊂R a compact set. We prove that if there exists a boun...
AbstractStein's theorem on the interpolation of a family of operators between two analytic spaces is...
We consider the imbeddings of the l 2 sequence spaces defined on ddimensional lattices into the spac...
An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions...
We consider interpolation inequalities for imbeddings of the l 2-sequence spaces over d-dimensional ...
The classical sampling problem is to reconstruct entire functions with given spectrum S from their v...
An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions...
An analogue of the notion of uniformly separated sequences, ex-pressed in terms of extremal function...
Some relations between the spectral theory for linear operators and the complex theory of interpolat...
AbstractSome relations between the spectral theory for linear operators and the complex theory of in...
Nous étudions des problèmes d'interpolation dans des espaces de fonctions analytiques et notamment l...
Let s ≥ 1 be an integer, φ: R s → R be a compactly supported function, and S(φ) denote the linear sp...
We study spectral properties of operators on logarithmic perturbations of the real interpolation spa...
AbstractLet s≤1 be an integer, φ: Rs→R be a compactly supported function, and S(φ) denote the linear...
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are ...
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