Geodesic
Continuous Inversion Formulas for Multi-Dimensional Stockwell Transforms
L. Riba1 ; M W. Wong2
1 Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123 Torino, Italy
2 Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada
Mathematical modelling of natural phenomena, Tome 8 (2013) no. 1, pp. 215-229

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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.
DOI : 10.1051/mmnp/20138117

L. Riba 1 ; M W. Wong 2

1 Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123 Torino, Italy
2 Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada 
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L. Riba; M W. Wong. Continuous Inversion Formulas for Multi-Dimensional Stockwell Transforms. Mathematical modelling of natural phenomena, Tome 8 (2013) no. 1, pp. 215-229. doi: 10.1051/mmnp/20138117

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