TL;DR
This paper investigates how quickly the Fourier coefficients of cusp functions decrease, providing insights into their decay behavior and implications for harmonic analysis.
Contribution
It offers new observations on the decay rates of Fourier coefficients specifically for cusp functions, enhancing understanding of their harmonic properties.
Findings
Decay rates vary depending on cusp function properties
Certain decay bounds are established for Fourier coefficients
Implications for analysis of automorphic forms
Abstract
We make some observations on the decay rates of the Fourier coefficients of cusp functions.
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Taxonomy
TopicsAnalytic Number Theory Research · Mathematical Approximation and Integration · Mathematical Analysis and Transform Methods