Whittaker-Stockwell transform and Tikhonov regularization problem. (English. Russian original) Zbl 1503.44003
J. Math. Sci., New York 264, No. 5, 633-647 (2022); translation from Probl. Mat. Anal. 116, 135-146 (2022).
Summary: We define and study the Stockwell transform associated to the Whittaker operator and prove a Plancherel formula. We introduce and study the extremal function associated to the Whittaker-Stockwell transform.
MSC:
| 44A15 | Special integral transforms (Legendre, Hilbert, etc.) |
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
Software:
DLMFReferences:
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