Results 41 to 50 of about 2,291 (82)
Area Littlewood-Paley functions associated with Hermite and Laguerre operators [PDF]
In this paper we study Lp-boundedness properties for area Littlewood-Paley functions associated with heat semigroups for Hermite and Laguerre ...
arxiv
Multivariate vector sampling expansions in shift invariant subspaces [PDF]
In this paper, we study multivariate vector sampling expansions on general finitely generated shift-invariant subspaces. Necessary and sufficient conditions for a multivariate vector sampling theorem to hold are given.
arxiv
On the relation of the frame-related operators of fusion frame systems. [PDF]
Köhldorfer L, Balazs P.
europepmc +1 more source
A few remarks on sampling of signals with small spectrum [PDF]
Given a set $S$ of small measure, we discuss existence of sampling sequences for the Paley-Wiener space $PW_S$, which have both densities and sampling bounds close to the optimal ones.
arxiv
Sampling Trajectories for the Short-Time Fourier Transform. [PDF]
Speckbacher M.
europepmc +1 more source
Asymptotics of orthogonal polynomials via the Koosis theorem
The main aim of this short paper is to advertize the Koosis theorem in the mathematical community, especially among those who study orthogonal polynomials. We (try to) do this by proving a new theorem about asymptotics of orthogonal polynomials for which
Nazarov, F., Volberg, A., Yuditskii, P.
core +1 more source
Invariance of Fréchet Frames under Perturbation [PDF]
Motivating the perturbations of frames in Hilbert and Banach spaces, in this paper we introduce the invariance of Fr\'echet frames under perturbation. Also we show that for any Fr\'echet spaces, there is a Fr\'echet frame and any element has a series expansion.
arxiv
The concept of (p,q)-pair frames is generalized to (l,l^*)-pair frames. Adjoint (conjugate) of a pair frames for dual space of a Banach space is introduced and some conditions for the existence of adjoint (conjugate) of pair frames are presented.
arxiv
In this short note we introduce and study a particular type of Schauder frames, namely, \Phi-Schauder frames.
arxiv
Weyl-Heisenberg frames for subspaces of L^2(R)
We give sufficient conditions for translates and modulates of a function g in L^2(R) to be a frame for its closed linear span. Even in the case where this family spans all of L^2(R), wou conditions are significantly weaker than the previous known ...
Casazza, Peter G., Christensen, Ole
core