Toeplitz operators for Stockwell transform related to the spherical mean operator. (English) Zbl 1523.44001
Summary: In this paper, we define and study the continuous Stockwell transform associated with the spherical mean operator, we prove Plancherel formula, inversion formula, etc. Next, some applications are given as the theory of localization operators associated with this new transform. Finally we give some results on the spectrograms for the continuous Stockwell transform.
MSC:
| 44A05 | General integral transforms |
| 47B10 | Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) |
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
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