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

Fethi Soltanı

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

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.

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Journal Section Articles
Authors

Fethi Soltanı This is me

Publication Date June 1, 2014
Submission Date April 4, 2015
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.
AMA Soltanı F. AN L^p HEISENBERG-PAULI-WEYL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM. Konuralp J. Math. April 2014;2(1):1-6.
Chicago Soltanı, Fethi. “AN L^p HEISENBERG-PAULI-WEYL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM”. Konuralp Journal of Mathematics 2, no. 1 (April 2014): 1-6.
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 F. Soltanı, “AN L^p HEISENBERG-PAULI-WEYL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM”, Konuralp J. Math., vol. 2, no. 1, pp. 1–6, 2014.
ISNAD Soltanı, Fethi. “AN L^p HEISENBERG-PAULI-WEYL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM”. Konuralp Journal of Mathematics 2/1 (April 2014), 1-6.
JAMA 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, 2014, pp. 1-6.
Vancouver Soltanı F. AN L^p HEISENBERG-PAULI-WEYL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM. Konuralp J. Math. 2014;2(1):1-6.
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