Math. Model. Nat. Phenom.
Volume 8, Number 1, 2013Harmonic analysis
|Page(s)||215 - 229|
|Published online||28 January 2013|
Continuous Inversion Formulas for Multi-Dimensional Stockwell Transforms
1 Dipartimento di Matematica,
Università di Torino, via Carlo
Alberto 10, 10123
2 Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada
∗ Corresponding author. E-mail: email@example.com, This research
has been supported by a discovery grant from the Natural Sciences and Engineering
Research Council of Canada.
Stockwell transforms as hybrids of Gabor transforms and wavelet transforms have been studied extensively. We introduce in this paper multi-dimensional Stockwell transforms that include multi-dimensional Gabor transforms as special cases. Continuous inversion formulas for multi-dimensional Stockwell transforms are proved.
Mathematics Subject Classification: 42C40 / 47G10
Key words: Gabor transforms / wavelet transforms / Stockwell transforms / continuous inversion formulas
© EDP Sciences, 2013
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