Polar-Analytic Functions

Carlo Bardaro, Paul L. Butzer, Ilaria Mantellini and Gerhard Schmeisser
Additional contact information
Carlo Bardaro: University of Perugia, Department of Mathematics and Informatics
Paul L. Butzer: RWTH Aachen University, Lehrstuhl A für Mathematik
Ilaria Mantellini: University of Perugia, Department of Mathematics and Informatics
Gerhard Schmeisser: Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Department Mathematik

Chapter Chapter 2 in Mellin Analysis, Transform Theory, and Applications, 2025, pp 35-50 from Springer

Abstract: Abstract In the development of Mellin analysis, in particular in studies in the spirit of the Paley–Wiener theorem, we shall come across the problem of characterizing functions that are originally defined on ℝ + $$\mathbb {R}^+$$ but can be extended to a larger domain in an analytic way. For this, the classical notion of analyticity will turn out to be quite awkward. A modified concept, which we shall describe in this chapter, leads to more elegant and concise results.

Date: 2025
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-96672-9_2

Ordering information: This item can be ordered from
http://www.springer.com/9783031966729

DOI: 10.1007/978-3-031-96672-9_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().