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.
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Translated from Problemy Matematicheskogo Analiza 116, 2022, pp. 135-146.
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Soltani, F., Aledawish, S. Whittaker–Stockwell Transform and Tikhonov Regularization Problem. J Math Sci 264, 633–647 (2022). https://doi.org/10.1007/s10958-022-06022-4
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DOI: https://doi.org/10.1007/s10958-022-06022-4