Littlewood–Paley theory

id: littlewood-paley-theory-289-16333464
title: Littlewood–Paley theory
text: In harmonic analysis, a field within mathematics, Littlewood–Paley theory is a theoretical framework used to extend certain results about L2 functions to Lp functions for 1 < p < ∞. It is typically used as a substitute for orthogonality arguments which only apply to Lp functions when p = 2. One implementation involves studying a function by decomposing it in terms of functions with localized frequencies, and using the Littlewood–Paley g-function to compare it with its Poisson integral. The 1-var
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original url: https://en.wikipedia.org/wiki/Littlewood%E2%80%93Paley_theory
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date modified: 2023-08-15T00:31:50Z
main entity: {"identifier":"Q6653183","url":"https://www.wikidata.org/entity/Q6653183"}
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