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Some characteristics of S transforms in a class of rapidly decreasing Boehmians

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Abstract

In this paper, we investigate some generalization of the transform S (\(S_{w}\)-transform) to a space of rapidly decreasing Boehmians. The generalization, we obtain, is well-defined and linear isomorphism between the constructed spaces of Boehmians. Continuity with respect to \(\delta \) and \(\Delta \)-convergence is also discussed.

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Authors and Affiliations

  1. Department of Applied Sciences, Faculty of Engineering Technology, Al-Balqa’ Applied University, Amman, 11134, Jordan

    S. K. Q. Al-Omari

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  1. S. K. Q. Al-Omari
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Correspondence to S. K. Q. Al-Omari.

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Al-Omari, S.K.Q. Some characteristics of S transforms in a class of rapidly decreasing Boehmians. J. Pseudo-Differ. Oper. Appl. 5, 527–537 (2014). https://doi.org/10.1007/s11868-014-0102-8

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  • DOI: https://doi.org/10.1007/s11868-014-0102-8

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