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• W1675130909 abstract "Multipliers are operators that combine (frame-like) analysis, a multiplication with a fixed sequence, called the symbol, and synthesis. They are very interesting mathematical objects that also have a lot of applications for example in acoustical signal processing. It is known that bounded symbols and Bessel sequences guarantee unconditional convergence. In this paper we investigate necessary and equivalent conditions for the unconditional convergence of multipliers. In particular we show that, under mild conditions, unconditionally convergent multipliers can be transformed by shifting weights between symbol and sequence, into multipliers with symbol (1) and Bessel sequences." @default.
• W1675130909 created "2016-06-24" @default.
• W1675130909 creator A5028030847 @default.
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• W1675130909 date "2013-03-01" @default.
• W1675130909 modified "2023-09-24" @default.
• W1675130909 title "Canonical forms of unconditionally convergent multipliers" @default.
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• W1675130909 doi "https://doi.org/10.1016/j.jmaa.2012.10.007" @default.
• W1675130909 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/3617629" @default.
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