Development of a new concept of polar analytic functions useful in Mellin analysis

DOI10.1080/17476933.2019.1571050zbMath1428.30003OpenAlexW2914590384MaRDI QIDQ5239192

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

Publication date: 22 October 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2019.1571050

zbMATH Keywords

Taylor expansionMorera theoremconformalityCauchy integral formulapolar-analytic functions

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Power series (including lacunary series) in one complex variable (30B10) Conformal mappings of special domains (30C20)

Related Items (7)

Polar-analytic functions: old and new results, applications ⋮ A retrospective on research visits of Paul Butzer's Aachen research group to Eastern Europe and Tenerife ⋮ Exponential sampling with a multiplier ⋮ To multidimensional Mellin analysis: Besov spaces, \(K\)-functor, approximations, frames ⋮ Integration of polar-analytic functions and applications to Boas' differentiation formula and Bernstein's inequality in Mellin setting ⋮ Valiron's interpolation formula and a derivative sampling formula in the Mellin setting acquired via polar-analytic functions ⋮ On powers of the characteristic function

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