We consider a special type of signal restoration problem where some of the sampling data
are not available. The formulation related to samples of the function and its derivative leads …

Abstract Let f: Ik→ Ms be a bounded symbol with Ik=(-𝜈, 𝜋) k and Ms be the linear space of
the complex s× s matrices, k, s≥ 1. W e consider the sequence of matrices {Tn ()}, where …

This paper addresses the problem of sampling a two dimensional function (an image) by
projections along lines with an arbitrary geometry. By usage of the Papoulis Generalized …

The goal of derivative sampling is to reconstruct a signal from the samples of the function
and of its first-order derivative. In this paper, we consider this problem over a shift-invariant …

It is well known that any finite missing samples of a band-limited signal can be recovered
when the signal is oversampled at a rate higher than the minimum Nyquist rate. This paper …

Signals received by microwave systems are inherently path averages since they are the
result of an integrated sample of the signal along the microwave's path. A novel method …

In this article, we obtain families of frames for the space B ω of functions with band in [− ω, ω]
by using the theory of shift-invariant spaces. Our results are based on the Gramian analysis …

It is well known that any finite missing samples of a band-limited signal can be recovered
from the remaining known samples when the signal is oversampled at a rate higher than the …

This paper deals with the problem of reconstructing a band-limited signal when a finite
subset of its samples and of its derivative are missing. The technique used, due to PJSG …

In a previous paper, the author constructed frames and oversampling formulas for band-
limited functions, in the framework of the theory of shift-invariant spaces. In this article we …