Starting from Lagrange interpolation of the exponential function ez in the complex plane, and using an integral representation formula for holomorphic functions on Banach spaces, we obtain Lagrange interpolating polynomials ...

We characterize the normal operators A on ℓ2 and the elements ai∈ ℓ2, with 1 ≤ i≤ m, such that the sequence {Ana1,…,Anam}n≥0is a frame. The characterization makes strong use of the pseudo-hyperbolic metric of D and is given ...

For a function f defined  almost everywhere on R.  Let {Ln (f)} be the sequence of Lagrange interpolation polynomials that approximates f, where the nodes are taken to be the zeros of a certain sequence of orthogonal ...

In this paper we study the continuous dynamical sampling problem at infinite time in a complex Hilbert space H. We find necessary and sufficient conditions on a bounded linear operator A∈B(H) and a set of vectors G⊂H, in ...