We start with an introduction about the Stockwell transforms and the resolution of the identity formula. Localization operators corresponding to the Stockwell transforms are then defined. It is proved that under suitable conditions on the symbols, the localization operators are, in descending order of complexity, paracommutators, paraproducts and Fourier multipliers.
CITATION STYLE
Liu, Y. (2009). Localization operators for two-dimensional Stockwell transforms. In Operator Theory: Advances and Applications (Vol. 189, pp. 287–296). Springer International Publishing. https://doi.org/10.1007/978-3-7643-8969-7_14
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