Beurling'S Theorem and Lp- Lqmorgan'S Theorem for the Generalized Bessel-Struve Transform

Abouelaz, A.; Achak, A.; Daher, R.; Safouane, N.

Research Article

Beurling'S Theorem and Lp- Lqmorgan'S Theorem for the Generalized Bessel-Struve Transform

A. Abouelaz¹
A. Achak¹
R. Daher¹
N. Safouane¹*

Faculty of Sciences Aïn Chock, University of Hassan II, Casablanca 20100, Morocco.

* Corresponding author

Abstract

The generalized Bessel-Struve transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Beurling's theorem and Lp- LqMorgan's theorem obtained for the generalized Bessel-Struve transform.

How to Cite

A. Abouelaz, A. Achak, R. Daher, N. Safouane, Beurling'S Theorem and Lp- Lqmorgan'S Theorem for the Generalized Bessel-Struve Transform, Int. J. Anal. Appl. 10 (2016), 85–89.

BibTeX

@article{Abouelaz2016,
  author  = {Abouelaz, A. and Achak, A. and Daher, R. and Safouane, N.},
  title   = {Beurling'S Theorem and Lp- Lqmorgan'S Theorem for the Generalized Bessel-Struve Transform},
  journal = {Int. J. Anal. Appl.},
  volume  = {10},
  year    = {2016},
  pages   = {85--89},
  doi     = {}
}

References

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[2] S. Ben Farah, K. Mokni, Uncertainty Principle and the Lp- Lq-Version of Morgan's Theorem on Semi-simple lie Groups, Integrals Transform Spec. Funct. 16 (2005), 281-289.
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[4] L. Hörmander, A uniqueness theorem of Beurling for Fourier transform pairs, Ark. För Math., 2(1991), 237-240.
[5] G.W. Morgan, A note on Fourier transforms, J. London Math. Soc., 9 (1934), 188-192.