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- W2034125544 abstract "We study a class of pseudodifferential operators known as time–frequency localization operators, Anti-Wick operators, Gabor–Toeplitz operators or wave packets. Given a symbol a and two windows ϕ1,ϕ2, we investigate the multilinear mapping from (a,ϕ1,ϕ2)∈S′(R2d)×S(Rd)×S(Rd) to the localization operator Aaϕ1,ϕ2 and we give sufficient and necessary conditions for Aaϕ1,ϕ2 to be bounded or to belong to a Schatten class. Our results are formulated in terms of time–frequency analysis, in particular we use modulation spaces as appropriate classes for symbols and windows." @default.
- W2034125544 created "2016-06-24" @default.
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- W2034125544 date "2003-12-01" @default.
- W2034125544 modified "2023-10-03" @default.
- W2034125544 title "Time–Frequency analysis of localization operators" @default.
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- W2034125544 doi "https://doi.org/10.1016/s0022-1236(03)00166-6" @default.
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