AN $L^{p}$-$L^{q}$-VERSION OF MORGAN'S THEOREM FOR THE GENERALIZED DUNKL TRANSFORM
Abstract
In this article, we prove An Lp
Keywords
Full Text:
PDFReferences
G. H. Hardy, "A theorem concerning Fourier transforms," Journal of the London
Mathematical Society, vol. 8, pp. 227231, 1933.
G. W. Morgan, "A note on Fourier transforms," Journal of the London Mathematical
Society, vol. 9, pp. 187-192, 1934.
M.A. Mourou and K. Trimeche, Transmutation operators and Paley-Wiener theorem
associated with a singular Dierential-Dierence operator on the real line,
Analysis and Applications, Vol. 1 (2003), 43-70.
Al Sadhan, S.A., Al Subaie, R.F. and Mourou, M.A. (2014) Harmonic Analysis
Associated with A First-Order Singular Dierential-Dierence Operator on the
Real Line. Current Advances in Mathematics Research, 1, 23-34.
S. C. Bagchi and S. K. Ray, "Uncertainty principles like Hardy's theorem on some
Lie groups," Journal of the Australian Mathematical Society. Series A, vol. 65, no.
, pp. 289-302, 1998
S. Ayadi, An Lp-Lq-version of Morgan's theorem for the dunkl transform, Math.
Sci. Res. J. 8(11) (2004) 318-327.
S. Ben Farah and K. Mokni, Uncertainty principle and the Lp-Lq-version of Morgan's
theorem on some groups, Russ. J. Math. Phys. 10(3) (2003) 116.
Refbacks
- AN $L^{p}$-$L^{q}$-VERSION OF MORGAN'S THEOREM FOR THE GENERALIZED DUNKL TRANSFO
- AN $L^{p}$-$L^{q}$-VERSION OF MORGAN'S THEOREM FOR THE GENERALIZED DUNKL TRANSF
- AN $L^{p}$-$L^{q}$-VERSION OF MORGAN'S THEOREM FOR THE GENERALIZED DUNKL TRANSFO
ISSN 0352-9665 (Print)