Bernstein spaces, sampling, and Riesz-Boas interpolation formulas in Mellin Analysis
Isaac Z. Pesenson
TL;DR
This paper develops new sampling theorems and interpolation formulas for Bernstein-Mellin subspaces within Lebesgue-Mellin spaces, advancing Mellin analysis techniques.
Contribution
It introduces novel sampling and interpolation formulas specifically for Bernstein-Mellin subspaces, expanding the theoretical framework of Mellin analysis.
Findings
New sampling theorems for Bernstein-Mellin subspaces
Riesz-Boas high-order interpolation formulas established
Enhanced understanding of Mellin analysis structures
Abstract
The goal of the paper is to consider Bernstein-Mellin subspaces in the Lebesgue-Mellin spaces and establishing for functions in these subspaces new sampling theorems and Riesz-Boas high-order interpolation formulas.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Advanced Numerical Analysis Techniques · Digital Filter Design and Implementation