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Wavelet multipliers and signals

Published online by Cambridge University Press:  17 February 2009

Z. He  and
M.W. Wong
Z. He
Affiliation:
Department of Mathematics and Statistics, York University, 4700 Keele Street, North York, Ontario M3J1P3, Canada.
M.W. Wong
Affiliation:
Department of Mathematics and Statistics, York University, 4700 Keele Street, North York, Ontario M3J1P3, Canada.
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Abstract

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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 Rn on the C*-algebra of all bounded linear operators from L2(Rn) into L2(Rn). A bounded linear operator on L2(R) arising in the Landau, Pollak and Slepian model in signal analysis is shown to be a wavelet multiplier studied in this paper.

Type
Research Article
Information
The ANZIAM Journal , Volume 40 , Issue 4 , April 1999 , pp. 437 - 446
Copyright
Copyright © Australian Mathematical Society 1999

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