Open AccessGlobal orthogonality implies local almost-orthogonality
Author(s) -
Jeremy M. Wilson
Publication year - 2000
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/270
Subject(s) - orthogonality , smoothness , argument (complex analysis) , mathematics , pure mathematics , type (biology) , mathematical analysis , geometry , ecology , biochemistry , chemistry , biology
We introduce a new stopping-time argument, adapted to handle linear sums of noncompactly-supported functions that satisfy fairly weak decay, smoothness, and cancellation conditions. We use the argument to obtain a new Littlewood-Paley-type result for such sums.
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