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1. CJM 2008 (vol 60 pp. 1283)

Ho, Kwok-Pun
Remarks on Littlewood--Paley Analysis
Littlewood--Paley analysis is generalized in this article. We show that the compactness of the Fourier support imposed on the analyzing function can be removed. We also prove that the Littlewood--Paley decomposition of tempered distributions converges under a topology stronger than the weak-star topology, namely, the inductive limit topology. Finally, we construct a multiparameter Littlewood--Paley analysis and obtain the corresponding ``renormalization'' for the convergence of this multiparameter Littlewood--Paley analysis.

Keywords:Littlewood--Paley analysis, distributions

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