Author:
Bardaro Carlo,Butzer Paul L.,Mantellini Ilaria,Schmeisser Gerhard
Abstract
AbstractIn 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.
Funder
Friedrich-Alexander-Universität Erlangen-Nürnberg
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Theory and Mathematics,Analysis
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Exponential sampling with a multiplier;Sampling Theory, Signal Processing, and Data Analysis;2023-02-09
2. To multidimensional Mellin analysis: Besov spaces, K-functor, approximations, frames;Sampling Theory, Signal Processing, and Data Analysis;2023-01-30
3. Bernstein Spaces, Sampling, and Riesz-Boas Interpolation Formulas in Mellin Analysis;Applied and Numerical Harmonic Analysis;2023
4. Polar-Analytic Functions: Old and New Results, Applications;Results in Mathematics;2022-01-27