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Characterization of Dini Lipschitz Functions in Terms of Their Helgason Transform Cover

Characterization of Dini Lipschitz Functions in Terms of Their Helgason Transform

Open Access
|Dec 2016

References

  1. [1] S. Helgason, Groups and geometric analysis: Integral geometry, invariant differential operators, and Spherical Functions [Russian translation], Mir, Moscow, 1987
  2. [2] S. Helgason, A duality for symmetric spaces with applications to group representations, Adv. Math., 5 (1), (1970), 1-15410.1016/0001-8708(70)90037-X
  3. [3] S. Helgason, Differential geometry and symmetric spaces [Russian translation], Mir, Moscow, 1964
  4. [4] S. Helgason, Differential geometry, lie groups and symmetric spaces, Academic Press, New York, 1978
  5. [5] S. Helgason, Geometric analysis on symmetric spaces, Providence, RI, 199410.1090/surv/039/02
  6. [6] M. S. Younis, Fourier transforms of Dini-Lipschitz functions, Int. J. Math. Math. Sci., 9 (2), (1986), 301-312, doi:10.1155/S0161171286000376
  7. [7] S. S. Platonov, Approximation of functions in L2-metric on noncompact rank 1 symmetric space, Algebra Analiz., 11 (1), (1999), 244-270
  8. [8] S. S. Platonov, The Fourier transform of function satisfying the Lipshitz condition on rank 1 symetric spaces, Siberian Math.J., 46 (2), (2005), 1108-111810.1007/s11202-005-0105-z
  9. [9] W. O. Bray and M. A. Pinsky, Growth properties of Fourier transforms via module of continuity, Journal of Functional Analysis, 255 (288), 2256-228510.1016/j.jfa.2008.06.017
  10. [10] T. H. Koornwinder, Jacobi functions and analysis on non-compact semisimple Lie groups, "Special Functions: Group Theoretical Aspects and Applications" (R. Askey, T.H. Koornwinder, and W. Schempp, Eds.), Reeidel, Dordrecht, 1984 10.1007/978-94-010-9787-1_1
DOI: https://doi.org/10.1515/awutm-2016-0018 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 117 - 130
Submitted on: Feb 29, 2016
Accepted on: Jul 31, 2016
Published on: Dec 30, 2016
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2016 Salah El Ouadih, Radouan Daher, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.