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Continuous Inversion Formulas for Multi-Dimensional StockwellTransforms

Published online by Cambridge University Press:  28 January 2013

L. Riba  and
M W. Wong
L. Riba
Affiliation:
Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123 Torino, Italy
M W. Wong*
Affiliation:
Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada
*
∗Corresponding author. E-mail: [email protected], This researchhas been supported by a discovery grant from the Natural Sciences and EngineeringResearch Council of Canada.
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Abstract

Stockwell transforms as hybrids of Gabor transforms and wavelet transforms have beenstudied extensively. We introduce in this paper multi-dimensional Stockwell transformsthat include multi-dimensional Gabor transforms as special cases. Continuous inversionformulas for multi-dimensional Stockwell transforms are proved.

Keywords

Gabor transformswavelet transformsStockwell transformscontinuous inversion formulas
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 8 , Issue 1: Harmonic analysis , 2013 , pp. 215 - 229
Copyright
© EDP Sciences, 2013

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