2 citations · 3 across the 9 of their papers we have counts for
9 papers
A residue theorem for polar analytic functions and Mellin analogues of Boas' differentiation formula and Valiron's sampling formula
Carlo Bardaro, Paul L. Butzer, Ilaria Mantellini +1
In this paper, we continue the study of the polar analytic functions, a notion introduced in \cite{BBMS1} and successfully applied in Mellin analysis. Here we obtain another versio…
Development of a complex function theory upon a new concept of polar-analytic functions; Extended version
Carlo Bardaro, Paul. L. Butzer, Ilaria Mantellini +1
The present article is an extended version of [6] containing new results and an updated list of references. We review the notion of polar analyticity introduced in a previous paper…
Quadrature formulae for the positive real axis in the setting of Mellin analysis: Sharp error estimates in terms of the Mellin distance
Carlo Bardaro, Paul L. Butzer, Ilaria Mantellini +1
The general Poisson summation formula of Mellin analysis can be considered as a quadrature formula for the positive real axis with remainder. For Mellin bandlimited functions it be…
A fresh approach to the Paley-Wiener theorem for Mellin transforms and the Mellin-Hardy spaces
Carlo Bardaro, Paul L. Butzer, Ilaria Mantellini +1
Here we give a new approach to the Paley--Wiener theorem in a Mellin analysis setting which avoids the use of the Riemann surface of the logarithm and analytical branches and is ba…
A generalization of the exponential sampling series and its approximation properties
Carlo Bardaro, Loris Faina, Ilaria Mantellini
Here we introduce a generalization of the exponential sampling series of optical physics and establish pointwise and uniform convergence theorem, also in a quantitative form. Moreo…
Multivariate semi-discrete sampling type operators: pointwise approximation properties
Carlo Bardaro, Ilaria Mantellini
In this paper multivariate extension of the generalized Durrmeyer sampling type series are considered. We establish a Voronovskaja type formula and a quantitative version. Finally…