We study the so-called Bessel–Struve transform in a certain class of generalized functions called Boehmians. By using different convolution products, we generate the Boehmian spaces in which the extended transform is well defined. We also show that the Bessel–Struve transform of a Boehmian is an isomorphism continuous with respect to a certain type of convergence.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 9, pp. 1155–1165, September, 2017.
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Al-Omari, S.K.Q. Estimation of the Generalized Bessel–Struve Transform in a Space of Generalized Functions. Ukr Math J 69, 1341–1353 (2018). https://doi.org/10.1007/s11253-018-1435-x
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DOI: https://doi.org/10.1007/s11253-018-1435-x