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Colombeau Type Algebra of Pseudo Almost Periodic Generalized Functions

Year 2019, Volume: 1 Issue: 1, 22 - 27, 15.06.2019

Abstract

The aim of this work is to introduce and to study an algebra of pseudo almost periodic generalized functions containing the classical pseudo almost periodic functions as well as pseudo almost periodic distributions.

Supporting Institution

Department of Mathematics and Computer Sciences, University of Adrar, Algeria

References

  • [1] B. Basit, and H. Gunzler, Generalized vector valued almost periodic and ergodic distributions, J. Math. Anal. Appl. 314 (2006) 363-381.
  • [2] H Bohr, Almost periodic functions, Chelsea Publishing Company, (1947).
  • [3] C. Bouzar, and M. T. Khalladi, Almost periodic generalized functions, Novi Sad J. Math, Vol. 41, No. 1, (2011) 33-42.
  • [4] C. Bouzar and M. T. Khalladi, Asymptotically almost periodic generalized functions, Operator Theory, Advances and Applications, Vol. 231, (2013) 261-272.
  • [5] C. Bouzar and M. T. Khalladi and F. Z. Tchouar., Almost automorphic generalized functions. Novi Sad J. Math, Vol. 45, (2015) 207-214.
  • [6] J. F. Colombeau, Elementary introduction to new generalized functions, North Holland, (1985).
  • [7] L. Schwartz, Theorie des distributions, Hermann, 2ieme Edition, (1966).
  • [8] C. Zhang, Pseudo almost periodic functions and their applications, thesis, University of Western Ontario, (1992).
Year 2019, Volume: 1 Issue: 1, 22 - 27, 15.06.2019

Abstract

References

  • [1] B. Basit, and H. Gunzler, Generalized vector valued almost periodic and ergodic distributions, J. Math. Anal. Appl. 314 (2006) 363-381.
  • [2] H Bohr, Almost periodic functions, Chelsea Publishing Company, (1947).
  • [3] C. Bouzar, and M. T. Khalladi, Almost periodic generalized functions, Novi Sad J. Math, Vol. 41, No. 1, (2011) 33-42.
  • [4] C. Bouzar and M. T. Khalladi, Asymptotically almost periodic generalized functions, Operator Theory, Advances and Applications, Vol. 231, (2013) 261-272.
  • [5] C. Bouzar and M. T. Khalladi and F. Z. Tchouar., Almost automorphic generalized functions. Novi Sad J. Math, Vol. 45, (2015) 207-214.
  • [6] J. F. Colombeau, Elementary introduction to new generalized functions, North Holland, (1985).
  • [7] L. Schwartz, Theorie des distributions, Hermann, 2ieme Edition, (1966).
  • [8] C. Zhang, Pseudo almost periodic functions and their applications, thesis, University of Western Ontario, (1992).
There are 8 citations in total.

Details

Primary Language English
Subjects Software Engineering (Other)
Journal Section Articles
Authors

Mohammed Taha Khalladi 0000-0003-3373-6578

Publication Date June 15, 2019
Acceptance Date October 15, 2019
Published in Issue Year 2019 Volume: 1 Issue: 1

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