Abstract
A generalized pseudo-differential operator involving fractional Fourier transform associated with symbol a(x, y) is defined. The product of two generalized pseudo-differential operators is shown to be a generalized pseudo-differential operator.
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The authors are thankful to Prof. R. S. Pathak for his suggestions which helped in improving the paper.
This work has been supported by CSIR New Delhi, Govt. of India, under Grant No. F. No. 09/085(0104)/2010-EMR-I.
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Prasad, A., Kumar, M. Product of two generalized pseudo-differential operators involving fractional Fourier transform. J. Pseudo-Differ. Oper. Appl. 2, 355–365 (2011). https://doi.org/10.1007/s11868-011-0034-5
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DOI: https://doi.org/10.1007/s11868-011-0034-5