Lebesgue points and summability of higher dimensional Fourier transforms

Authors

DOI:

https://doi.org/10.64700/altay.13

Keywords:

Fourier transforms, Fejér summability, \(\theta\)-summability, Lebesgue points

Abstract

The well known Lebesgue's theorem about the almost everywhere convergence of the one-dimensional Fejér means is generalized for five different, more general summability methods and for higher dimensional functions from the Wiener amalgam space \(W(L_1,\ell_\infty)(\mathbb{R}^d)\).

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Published

2025-10-22

How to Cite

Weisz, F. (2025). Lebesgue points and summability of higher dimensional Fourier transforms. Altay Conference Proceedings in Mathematics, 1(1), 10–23. https://doi.org/10.64700/altay.13

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Section

ICCMA