Valiron’s Interpolation Formula and a Derivative Sampling Formula in the Mellin Setting Acquired via Polar-Analytic Functions

Bardaro C, Butzer PL, Mantellini I, Schmeißer G (2020)

Publication Type: Journal article

Publication year: 2020

Journal

Computational Methods and Function Theory Springer

DOI: 10.1007/s40315-020-00341-w

Abstract

In this paper, we first recall some recent results on polar-analytic functions. Then we establish Mellin analogues of a classical interpolation of Valiron and of a derivative sampling formula. As consequences a new differentiation formula and an identity theorem in Mellin–Bernstein spaces are obtained. The main tool in the proofs is a residue theorem for polar-analytic functions.

Authors with CRIS profile

Gerhard Schmeißer Department Mathematik

Involved external institutions

Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen DE Germany (DE) Università degli Studi di Perugia IT Italy (IT)

How to cite

APA:

Bardaro, C., Butzer, P.L., Mantellini, I., & Schmeißer, G. (2020). Valiron’s Interpolation Formula and a Derivative Sampling Formula in the Mellin Setting Acquired via Polar-Analytic Functions. Computational Methods and Function Theory. https://dx.doi.org/10.1007/s40315-020-00341-w

MLA:

Bardaro, Carlo, et al. "Valiron’s Interpolation Formula and a Derivative Sampling Formula in the Mellin Setting Acquired via Polar-Analytic Functions." Computational Methods and Function Theory (2020).

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