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Characterization of spaces of type \(W\) and pseudo-differential operators of infinite order involving fractional Fourier transform

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Abstract

The characterization of W-type spaces is investigated and various properties of pseudo-differential operators are studied by using the fractional Fourier transform.

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Acknowledgments

The first author is thankful to DST-CIMS, Banaras Hindu University, Varanasi, India for providing the research facilities and the second author is also thankful to DST-CIMS, Banaras Hindu University, Varanasi, India for awarding the Junior Research Fellowship since December (2012). The authors are thankful to referee for his valuable comments and suggestions regarding this paper.

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Authors and Affiliations

  1. DST-CIMS, Department of Applied Mathematics, Indian Institute of Technology, Banaras Hindu University, Varanasi , 221005, India

    S. K. Upadhyay

  2. DST-CIMS, Banaras Hindu University, Varanasi , 221005, India

    Anuj Kumar & Jitendra Kumar Dubey

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  1. S. K. Upadhyay
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  2. Anuj Kumar
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  3. Jitendra Kumar Dubey
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Correspondence to S. K. Upadhyay.

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Upadhyay, S.K., Kumar, A. & Dubey, J.K. Characterization of spaces of type \(W\) and pseudo-differential operators of infinite order involving fractional Fourier transform. J. Pseudo-Differ. Oper. Appl. 5, 215–230 (2014). https://doi.org/10.1007/s11868-014-0092-6

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  • DOI: https://doi.org/10.1007/s11868-014-0092-6

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