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Characterization of Product of Pseudo-Differential Operators Involving Fractional Fourier Transform
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Characterizations of product of generalized pseudo-differential operators associated with symbol σ(x,ξ) ∈ Sm are discussed by exploiting the fractional Fourier transform.
Keywords
Fractional Fourier transform, Pseudo-differential operator, Adjoint operator
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- Z. L. Abzhandadze and V. F. Osipov, Fourier-Fresnel Transform and Some of its Applications, Univ. of Saint-Petersbourg, 2000.
- E. Cordero and K. Grochenig, On the product of localization Operators, in: Modern Trends in Pseudo-differential Operators, pp. 279295, Oper. Theory Adv. Appl., Vol. 172, Birkhuser, Basel, 2007.
- J. Du and M. W. Wong, A product formula for localization operators, Bull. Korean Math. Soc. 37 (2000), 77-84 .
- J. K. Dubey, A. Kumar and S. K. Upadhyay, Pseudo-differential operators and Localization operators on Sμv (R) space involving fractional Fourier transform, Novi Sad J. Math., 45(2015), 285–301.
- K. Gr¨ochenig, Composition and spectral invariance of pseudo-differential operators on modulation space, J. Anal. Math. 98 (2006), 65–82.
- H. M. Ozaktas, M. A. Kutay and Z. Zalevsky, The Fractional Fourier Transform with Applications in Optics and Signal Processing, John Wiley and Sons, New York, 2000.
- R. S. Pathak and A. Prasad, A generalized pseudo-differential operator on GelfandShilov space and Sobolev space, Indian J. Pure Appl. Math. 37 (2006), 223–235.
- J. Sjostrand, An algebra of pseudo-differential Operators, Math. Res. Lett. 1 (1994), 185-192.
- S. K. Upadhyay and J. K. Dubey, Pseudo-Differential Operators of infinite order on WΩM (Cn)- spaces involving fractional Fourier transform, J. Pseudo-Differ. Oper. Appl. 6 (2015), 113–133.
- M. W. Wong, An Introduction to Pseudo-differential Operators, 3rd edn., World Scientific, Singapore, 2014.
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