AN L^p HEISENBERG-PAULI-WEYL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM

Fethi Soltanı

Year 2014, Volume: 2 Issue: 1, 1 - 6, 01.06.2014

Fethi Soltanı

https://izlik.org/JA23EH86WT

Abstract

References

P. Ciatti, F. Ricci and M. Sundari, Heisenberg-Pauli-Weyl uncertainty inequalities and poly- nomial volume growth, Adv. Math. Vol:215 (2007), 616-625.
M. Cowling and J.F. Price, Bandwidth versus time concentration: the Heisenberg-Pauli-Weyl inequality, SIAM J. Math. Anal. Vol:15 (1984), 151-165.
D.L. Donoho and P.B. Stark, Uncertainty principles and signal recovery, SIAM J. Appl. Math. Vol:49, No.3 (1989), 906-931.
C.F. Dunkl, Integral kernels with reflection group invariance, Canad. J. Math. Vol:43 (1991), 1213-1227.
C.F. Dunkl, Hankel transforms associated to finite reflection groups, Contemp. Math. Vol:138 (1992), 123-138.
I.I. Hirschman, A note on entropy, Amer. J. Math. Vol:79 (1957), 152-156.
M.F.E.de Jeu, The Dunkl transform, Invent. Math. Vol:113 (1993), 147-162.
M. R¨osler, An uncertainty principle for the Dunkl transform, Bull. Austral. Math. Soc. Vol:59 (1999), 353-360.
N. Shimeno, A note on the uncertainty principle for the Dunkl transform, J. Math. Sci. Univ. Tokyo Vol:8 (2001), 33-42.
E.M. Stein, Interpolation of linear operators, Trans. Amer. Math. Soc. Vol:83 (1956), 482-492.
E.M. Stein and G. Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton
Univ. Press., Princeton, N.J, 1971.
Department of Mathematics, Faculty of Science, Jazan University, P.O.Box 114,
Jazan, Kingdom of Saudi Arabia

AN L^p HEISENBERG-PAULI-WEYL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM

Year 2014, Volume: 2 Issue: 1, 1 - 6, 01.06.2014

Fethi Soltanı

https://izlik.org/JA23EH86WT

Abstract

In this paper, we give a generalization of the Heisenberg-PauliWeyl uncertainty inequality for the Dunkl transform on Rdin Lp-norm

Keywords

Dunkl transform , Heisenberg-Pauli-Weyl uncertainty principle;Donoho-Stark’s uncertainty principle

References

P. Ciatti, F. Ricci and M. Sundari, Heisenberg-Pauli-Weyl uncertainty inequalities and poly- nomial volume growth, Adv. Math. Vol:215 (2007), 616-625.
M. Cowling and J.F. Price, Bandwidth versus time concentration: the Heisenberg-Pauli-Weyl inequality, SIAM J. Math. Anal. Vol:15 (1984), 151-165.
D.L. Donoho and P.B. Stark, Uncertainty principles and signal recovery, SIAM J. Appl. Math. Vol:49, No.3 (1989), 906-931.
C.F. Dunkl, Integral kernels with reflection group invariance, Canad. J. Math. Vol:43 (1991), 1213-1227.
C.F. Dunkl, Hankel transforms associated to finite reflection groups, Contemp. Math. Vol:138 (1992), 123-138.
I.I. Hirschman, A note on entropy, Amer. J. Math. Vol:79 (1957), 152-156.
M.F.E.de Jeu, The Dunkl transform, Invent. Math. Vol:113 (1993), 147-162.
M. R¨osler, An uncertainty principle for the Dunkl transform, Bull. Austral. Math. Soc. Vol:59 (1999), 353-360.
N. Shimeno, A note on the uncertainty principle for the Dunkl transform, J. Math. Sci. Univ. Tokyo Vol:8 (2001), 33-42.
E.M. Stein, Interpolation of linear operators, Trans. Amer. Math. Soc. Vol:83 (1956), 482-492.
E.M. Stein and G. Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton
Univ. Press., Princeton, N.J, 1971.
Department of Mathematics, Faculty of Science, Jazan University, P.O.Box 114,
Jazan, Kingdom of Saudi Arabia

There are 14 citations in total.

Details

Authors	Fethi Soltanı This is me
Submission Date	April 4, 2015
Publication Date	June 1, 2014
IZ	https://izlik.org/JA23EH86WT
Published in Issue	Year 2014 Volume: 2 Issue: 1

Cite

APA	Soltanı, F. (2014). AN L^p HEISENBERG-PAULI-WEYL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM. Konuralp Journal of Mathematics, 2(1), 1-6. https://izlik.org/JA23EH86WT
AMA	1.Soltanı F. AN L^p HEISENBERG-PAULI-WEYL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM. Konuralp J. Math. 2014;2(1):1-6. https://izlik.org/JA23EH86WT
Chicago	Soltanı, Fethi. 2014. “AN L^p HEISENBERG-PAULI-WEYL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM”. Konuralp Journal of Mathematics 2 (1): 1-6. https://izlik.org/JA23EH86WT.
EndNote	Soltanı F (April 1, 2014) AN L^p HEISENBERG-PAULI-WEYL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM. Konuralp Journal of Mathematics 2 1 1–6.
IEEE	[1]F. Soltanı, “AN L^p HEISENBERG-PAULI-WEYL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM”, Konuralp J. Math., vol. 2, no. 1, pp. 1–6, Apr. 2014, [Online]. Available: https://izlik.org/JA23EH86WT
ISNAD	Soltanı, Fethi. “AN L^p HEISENBERG-PAULI-WEYL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM”. Konuralp Journal of Mathematics 2/1 (April 1, 2014): 1-6. https://izlik.org/JA23EH86WT.
JAMA	1.Soltanı F. AN L^p HEISENBERG-PAULI-WEYL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM. Konuralp J. Math. 2014;2:1–6.
MLA	Soltanı, Fethi. “AN L^p HEISENBERG-PAULI-WEYL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM”. Konuralp Journal of Mathematics, vol. 2, no. 1, Apr. 2014, pp. 1-6, https://izlik.org/JA23EH86WT.
Vancouver	1.Fethi Soltanı. AN L^p HEISENBERG-PAULI-WEYL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM. Konuralp J. Math. [Internet]. 2014 Apr. 1;2(1):1-6. Available from: https://izlik.org/JA23EH86WT