Polar-Analytic Functions: Old and New Results, Applications-Reference-Cited by-同舟云学术

Polar-Analytic Functions: Old and New Results, Applications

Published:2022-01-27 Issue:2 Volume:77 Page:
ISSN:1422-6383
Container-title:Results in Mathematics
language:en
Short-container-title:Results Math

Author:

Bardaro Carlo,Butzer Paul L.,Mantellini Ilaria,Schmeisser Gerhard

Abstract

AbstractHere we review the notion of polar analyticity introduced in a previous paper and successfully applied in Mellin analysis and for quadrature formulae over the positive real axis. This approach provides a simple way of describing functions which are analytic on a part of the Riemann surface of the logarithm. New results are also obtained.

Funder

Friedrich-Alexander-Universität Erlangen-Nürnberg

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s00025-021-01471-w.pdf

Reference25 articles.

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3. Bardaro, C., Butzer, P.L., Mantellini, I., Schmeisser, G.: A fresh approach to the Paley-Wiener theorem for Mellin transforms and the Mellin–Hardy spaces. Math. Nachr. 290, 2759–2774 (2017)

4. Bardaro, C., Butzer, P.L., Mantellini, I., Schmeisser, G.: A generalization of the Paley–Wiener theorem for Mellin transforms and metric characterization of function spaces. Fract. Calc. Appl. Anal. 20(5), 1216–1238 (2017)

5. Bardaro, C., Butzer, P.L., Mantellini, I., Schmeisser, G.: Quadrature formulae for the positive real axis in the setting of Mellin analysis: sharp error estimates in terms of the Mellin distance. Calcolo 55(3), article 26, 33 p (2018)

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