Bardaro, Carlo; Mantellini, Ilaria; Schmeisser, Gerhard Exponential sampling with a multiplier. (English) Zbl 1511.94028 Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 8, 31 p. (2023). MSC: 94A20 41A58 41A80 41A25 65D15 PDFBibTeX XMLCite \textit{C. Bardaro} et al., Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 8, 31 p. (2023; Zbl 1511.94028) Full Text: DOI
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard Polar-analytic functions: old and new results, applications. (English) Zbl 1486.30004 Result. Math. 77, No. 2, Paper No. 64, 26 p. (2022). MSC: 30B10 30E20 30C20 PDFBibTeX XMLCite \textit{C. Bardaro} et al., Result. Math. 77, No. 2, Paper No. 64, 26 p. (2022; Zbl 1486.30004) Full Text: DOI
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard Valiron’s interpolation formula and a derivative sampling formula in the Mellin setting acquired via polar-analytic functions. (English) Zbl 1473.30022 Comput. Methods Funct. Theory 20, No. 3-4, 629-652 (2020). Reviewer: Ahmed I. Zayed (Chicago) MSC: 30E20 30F30 44A05 65D25 PDFBibTeX XMLCite \textit{C. Bardaro} et al., Comput. Methods Funct. Theory 20, No. 3--4, 629--652 (2020; Zbl 1473.30022) Full Text: DOI
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard Integration of polar-analytic functions and applications to Boas’ differentiation formula and Bernstein’s inequality in Mellin setting. (English) Zbl 1469.30085 Boll. Unione Mat. Ital. 13, No. 4, 503-514 (2020). Reviewer: Ahmed I. Zayed (Chicago) MSC: 30E20 30F30 44A05 65D25 PDFBibTeX XMLCite \textit{C. Bardaro} et al., Boll. Unione Mat. Ital. 13, No. 4, 503--514 (2020; Zbl 1469.30085) Full Text: DOI
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard Development of a new concept of polar analytic functions useful in Mellin analysis. (English) Zbl 1428.30003 Complex Var. Elliptic Equ. 64, No. 12, 2040-2062 (2019). MSC: 30B10 30E20 30C20 PDFBibTeX XMLCite \textit{C. Bardaro} et al., Complex Var. Elliptic Equ. 64, No. 12, 2040--2062 (2019; Zbl 1428.30003) Full Text: DOI
Bardaro, Carlo; Mantellini, Ilaria; Schmeisser, Gerhard Exponential sampling series: convergence in Mellin-Lebesgue spaces. (English) Zbl 1461.41003 Result. Math. 74, No. 3, Paper No. 119, 20 p. (2019). MSC: 41A58 42C15 46E22 94A20 PDFBibTeX XMLCite \textit{C. Bardaro} et al., Result. Math. 74, No. 3, Paper No. 119, 20 p. (2019; Zbl 1461.41003) Full Text: DOI
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard A residue theorem for polar analytic functions and Mellin analogues of Boas’ differentiation formula and Valiron’s sampling formula. arXiv:1906.01854 Preprint, arXiv:1906.01854 [math.CV] (2019). BibTeX Cite \textit{C. Bardaro} et al., ``A residue theorem for polar analytic functions and Mellin analogues of Boas' differentiation formula and Valiron's sampling formula'', Preprint, arXiv:1906.01854 [math.CV] (2019) Full Text: arXiv OA License
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard Quadrature formulae for the positive real axis in the setting of Mellin analysis: sharp error estimates in terms of the Mellin distance. (English) Zbl 1401.41020 Calcolo 55, No. 3, Paper No. 26, 33 p. (2018). MSC: 41A55 26A33 41A80 65D30 PDFBibTeX XMLCite \textit{C. Bardaro} et al., Calcolo 55, No. 3, Paper No. 26, 33 p. (2018; Zbl 1401.41020) Full Text: DOI arXiv
Bardaro, Carlo; Butzer, Paul. L.; Mantellini, Ilaria; Schmeisser, Gerhard Development of a complex function theory upon a new concept of polar-analytic functions; Extended version. arXiv:1803.04258 Preprint, arXiv:1803.04258 [math.CV] (2018). MSC: 30G30 30C20 BibTeX Cite \textit{C. Bardaro} et al., ``Development of a complex function theory upon a new concept of polar-analytic functions; Extended version'', Preprint, arXiv:1803.04258 [math.CV] (2018) Full Text: arXiv OA License
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard A fresh approach to the Paley-Wiener theorem for Mellin transforms and the Mellin-Hardy spaces. (English) Zbl 1391.44004 Math. Nachr. 290, No. 17-18, 2759-2774 (2017). Reviewer: Ahmed I. Zayed (Chicago) MSC: 44A15 30D20 26D10 PDFBibTeX XMLCite \textit{C. Bardaro} et al., Math. Nachr. 290, No. 17--18, 2759--2774 (2017; Zbl 1391.44004) Full Text: DOI arXiv
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard A generalization of the Paley-Wiener theorem for Mellin transforms and metric characterization of function spaces. (English) Zbl 1377.44004 Fract. Calc. Appl. Anal. 20, No. 5, 1216-1238 (2017). MSC: 44A15 26A33 46E35 PDFBibTeX XMLCite \textit{C. Bardaro} et al., Fract. Calc. Appl. Anal. 20, No. 5, 1216--1238 (2017; Zbl 1377.44004) Full Text: DOI
Bardaro, C.; Butzer, P. L.; Mantellini, I.; Schmeisser, G. Mellin analysis and its basic associated metric – applications to sampling theory. (English) Zbl 1374.44001 Anal. Math. 42, No. 4, 297-321 (2016). MSC: 44A05 26D10 46E22 46E35 PDFBibTeX XMLCite \textit{C. Bardaro} et al., Anal. Math. 42, No. 4, 297--321 (2016; Zbl 1374.44001) Full Text: DOI arXiv
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard On the Paley-Wiener theorem in the Mellin transform setting. (English) Zbl 1338.44006 J. Approx. Theory 207, 60-75 (2016). MSC: 44A15 30D20 26D10 30F99 PDFBibTeX XMLCite \textit{C. Bardaro} et al., J. Approx. Theory 207, 60--75 (2016; Zbl 1338.44006) Full Text: DOI arXiv