Comb functions
Alexandre Eremenko, Peter Yuditskii
TL;DR
This paper explores a class of regions and conformal mappings that are useful in various mathematical problems including approximation theory, harmonic analysis, and spectral theory.
Contribution
It introduces and discusses the properties of Comb functions, a class of conformal mappings relevant to multiple areas of mathematical analysis.
Findings
Identification of regions suitable for approximation and spectral analysis
Development of conformal mappings called Comb functions
Applications demonstrated in harmonic analysis and spectral theory
Abstract
We discuss a class of regions and conformal mappings which are useful in several problems of approximation theory, harmonic analysis and spectral theory.
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Taxonomy
TopicsMathematical functions and polynomials · Elasticity and Wave Propagation · Spectral Theory in Mathematical Physics