Wavelet multipliers and signals

The Schatten-von Neumann property of a pseudo-differential operator is established by showing that the pseudo-differential operator is a multiplier defined by means of an admissible wavelet associated to a unitary representation of the additive group R n on the C * -algebra of all bounded linear operators from L 2 (R n ) into L 2 (R n ). A bounded linear operator on L 2 (R) arising in the Landau, Pollak and Slepian model in signal analysis is shown to be a wavelet multiplier studied in this paper.