Time-frequency localisation operators-a geometric phase space approach: II. The use of dilations

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Published under licence by IOP Publishing Ltd
, , Citation I Daubechies and T Paul 1988 Inverse Problems 4 661 DOI 10.1088/0266-5611/4/3/009

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1 AT&T Bell Labs., Murray Hill, NJ, USA

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0266-5611/4/3/661

Abstract

Operators which localise both in time and frequency are constructed. They restrict to a finite time interval and cut off low as well as high frequencies (band-pass filters). Explicit expressions for eigenvalues and eigenfunctions (Laguerre functions) are given.

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10.1088/0266-5611/4/3/009