Zobrazeno 1 - 10
of 161
pro vyhledávání: '"Mantellini, Ilaria"'
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 version of the Cauchy integral formula and a residue theorem for polar Melli
Externí odkaz:
http://arxiv.org/abs/1906.01854
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 and succesfully applied in Mellin analysis and quadrature formulae fo
Externí odkaz:
http://arxiv.org/abs/1803.04258
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 becomes an exact quadrature formula. Our main aim is to study the speed
Externí odkaz:
http://arxiv.org/abs/1802.03952
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 based on new concepts of "polar-analytic function" in the Mellin setting
Externí odkaz:
http://arxiv.org/abs/1706.00285
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. Moreover we compare the error of approximation for Mellin band-limited func
Externí odkaz:
http://arxiv.org/abs/1609.02757
Autor:
Bardaro, Carlo, Mantellini, Ilaria
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 some particular examples are discussed.
Comment: 22 pages
Comment: 22 pages
Externí odkaz:
http://arxiv.org/abs/1605.07526
In this paper a notion of functional "distance" in the Mellin transform setting is introduced and a general representation formula is obtained for it. Also, a determination of the distance is given in terms of Lipschitz classes and Mellin-Sobolev spa
Externí odkaz:
http://arxiv.org/abs/1603.04202
In this paper we establish a version of the Paley-Wiener theorem of Fourier analysis in the frame of the Mellin transform. We provide two different proofs, one involving complex analysis arguments, namely the Riemann surface of the logarithm and Cauc
Externí odkaz:
http://arxiv.org/abs/1509.08235
In this article we study the basic theoretical properties of Mellin-type fractional integrals, known as generalizations of the Hadamard-type fractional integrals. We give a new approach and version, specifying their semigroup property, their domain a
Externí odkaz:
http://arxiv.org/abs/1406.6202
Autor:
Bardaro, Carlo1 (AUTHOR) carlo.bardaro@unipg.it, Mantellini, Ilaria1 (AUTHOR) ilaria.mantellini@unipg.it
Publikováno v:
Mathematical Foundations of Computing. Aug2022, Vol. 5 Issue 3, p219-229. 11p.
