Ryan L. Acosta Babb

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20222025

L^{p}

convergence of Bessel--Fourier series on the disc

2 citations · 2 across the 4 of their papers we have counts for

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math.CA2024

A partial converse to the Riemann--Lebesgue lemma for Bessel--Fourier series of order zero

Ryan L. Acosta Babb

It is known that the Bessel--Fourier coefficients $f_{m}$ of a function $f$ such that $x f (x)$ is integrable over $[0, 1]$ satisfy $f_{m} / m \to 0$ . We show a partial convers…

math.CA2022★ 2 cited

Remarks on the $L^{p}$ convergence of Bessel--Fourier series on the disc

Ryan L. Acosta Babb

The $L^{p}$ convergence of eigenfunction expansions for the Laplacian on planar domains is largely unknown for $p \neq = 2$ . After discussing the classical Fourier series on the 2-torus…

A partial converse to the Riemann--Lebesgue lemma for Bessel--Fourier series of order zero

Remarks on the Lp convergence of Bessel--Fourier series on the disc

Remarks on the $L^{p}$ convergence of Bessel--Fourier series on the disc