Behavior in \(L^\infty\) of convolution transforms with dilated kernels

DOI10.3934/mfc.2022005OpenAlexW4213338205MaRDI QIDQ6167847

W. R. Madych

Publication date: 7 August 2023

Published in: Mathematical Foundations of Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mfc.2022005

zbMATH Keywords

convolution of approximate identity type \(L^1\) kernels with \(L^\infty\) functions

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Convergence and divergence of series and sequences of functions (40A30) Harmonic analysis in several variables (42B99) Convolution, factorization for one variable harmonic analysis (42A85)

Cites Work

• Unnamed Item
• Partial differential equations. 4th ed
• Limits of Dilated Convolution Transforms
• Limits in $L_p $ of Convolution Transforms with Kernels $aK(at)$, $a \to 0$
• A note on approximation of the identity

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