Harmonic analysis associated with the Weinstein type operator on Rd

Authors

  • Azzedine Achak Université Chouaib Doukkali-Ecole Supérieure d'Education et de Formation Laboratoire de Mathématiques Fondamentales (LMF)
  • Radouan Daher Department of Mathematics, Faculty of Sciences An Chock. University of Hassan II Casablanca 20100, Morocco
  • Najat Safouane Department of Mathematics, Faculty of Sciences An Chock. University of Hassan II Casablanca 20100, Morocco

Abstract

 We consider the Weinstein type operator ??;d on Rd. We build transmutation operators R? which turn out to be transmutation operator between ??;d and the Laplacian
?d. Using this transmutation operators and its dual tR?, we develop a new commutative harmonic analysis on Rd corresponding to the operator ??;d.

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References

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Othmani, Y, Trimche, K: Real Paley-Wiener theorems associated with the Weinstein operator. Mediterr. J. Math. 3(1), 105-118 (2006) 8 A. Achak, R. Daher and N. Safouane

Pillipe Jaming, Saifallah Ghobber, Uncertainty principles for integral operators. Studia Mathematica, INSTYTUT MATEMATYCZNY * POLSKA AKADEMIA NAUK, 2014, 220, pp.197-220.

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Published

2021-01-25

How to Cite

[1]
A. Achak, R. Daher, and N. Safouane, “Harmonic analysis associated with the Weinstein type operator on Rd”, International Journal of Engineering and Applied Physics, vol. 1, no. 1, pp. 67–73, Jan. 2021.

Issue

Vol. 1 No. 1: January 2021

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Articles

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Copyright (c) 2021 Azzedine Achak, Radouan Daher, Najat Safouane

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