Unions of exponential Riesz bases
Dae Gwan Lee
TL;DR
This paper introduces new methods for constructing exponential Riesz bases by uniting existing bases, simplifying their creation and highlighting their delicate properties through illustrative examples.
Contribution
It presents novel techniques for building exponential Riesz bases via unions of frequency sets and domains, expanding the toolkit for analysis in this area.
Findings
New union-based methods for constructing exponential Riesz bases
Examples demonstrating the methods and their delicate nature
Enhanced understanding of the structure of exponential Riesz bases
Abstract
We develop new methods for constructing exponential Riesz bases by taking unions of exponential Riesz bases. These methods are based on taking unions of frequency sets and domains respectively and therefore allow easy construction. Together with examples that illustrate our methods, we also provide several examples showing the delicate nature of exponential Riesz bases.
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Taxonomy
TopicsDigital Filter Design and Implementation · Mathematical Analysis and Transform Methods · Control Systems and Identification