A characterization of sampling sequences for the Bergman spaces was originally provided by Seip and later expanded upon by Schuster. We consider a generalized notion of sampling using the infimum norm of the quotient space. Adapting some old techniques, we provide a characterization of general sampling sequences in terms of the lower uniform density
Abstract. Most characterizations of interpolating sequences for Bergman spaces include the condition...
AbstractThe necessary density condition in C known for sampling and interpolation in the Lp space of...
We give a complete characterization of all lattice sampling and interpolating sequences in the Fock...
This thesis deals with sets of sampling and interpolation in the Bergman spaces $A\sp{p}$. Kristian ...
The book is about understanding the geometry of interpolating and sampling sequences in classical sp...
Abstract. It is shown that sets of sampling for the Bergman space A2 have the “homo-geneous approxim...
We give a description of all measures such that for any function ia weighted Fock spaces the Lp norm...
The upper and lower uniform densities of some regular sequences are computed. These densities are us...
Abstract. We propose two possible definitions for the notion of a sampling sequence (or set) for Har...
Sampling theory is the study of spaces of functions which are reconstructible from their values at c...
Introduced by Coifman, Meyer, and Stein, the tent spaces have seen wide applications in harmonic ana...
Dans cette thèse, nous étudions différentes variations des inégalités d’échantillonnage. Tout d’abor...
In this article a generalized sampling theorem using an arbitrary sequence of sampling points is der...
International audienceWe obtain sampling and interpolation theorems in weighted spaces of analytic f...
AbstractIn this paper we investigate approximation from shift-invariant spaces by using generalized ...
Abstract. Most characterizations of interpolating sequences for Bergman spaces include the condition...
AbstractThe necessary density condition in C known for sampling and interpolation in the Lp space of...
We give a complete characterization of all lattice sampling and interpolating sequences in the Fock...
This thesis deals with sets of sampling and interpolation in the Bergman spaces $A\sp{p}$. Kristian ...
The book is about understanding the geometry of interpolating and sampling sequences in classical sp...
Abstract. It is shown that sets of sampling for the Bergman space A2 have the “homo-geneous approxim...
We give a description of all measures such that for any function ia weighted Fock spaces the Lp norm...
The upper and lower uniform densities of some regular sequences are computed. These densities are us...
Abstract. We propose two possible definitions for the notion of a sampling sequence (or set) for Har...
Sampling theory is the study of spaces of functions which are reconstructible from their values at c...
Introduced by Coifman, Meyer, and Stein, the tent spaces have seen wide applications in harmonic ana...
Dans cette thèse, nous étudions différentes variations des inégalités d’échantillonnage. Tout d’abor...
In this article a generalized sampling theorem using an arbitrary sequence of sampling points is der...
International audienceWe obtain sampling and interpolation theorems in weighted spaces of analytic f...
AbstractIn this paper we investigate approximation from shift-invariant spaces by using generalized ...
Abstract. Most characterizations of interpolating sequences for Bergman spaces include the condition...
AbstractThe necessary density condition in C known for sampling and interpolation in the Lp space of...
We give a complete characterization of all lattice sampling and interpolating sequences in the Fock...