Accès libre

Characterization of Dini Lipschitz Functions in Terms of Their Helgason Transform

À propos de cet article

Citez

[1] S. Helgason, Groups and geometric analysis: Integral geometry, invariant differential operators, and Spherical Functions [Russian translation], Mir, Moscow, 1987Search in Google Scholar

[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-XSearch in Google Scholar

[3] S. Helgason, Differential geometry and symmetric spaces [Russian translation], Mir, Moscow, 1964Search in Google Scholar

[4] S. Helgason, Differential geometry, lie groups and symmetric spaces, Academic Press, New York, 1978Search in Google Scholar

[5] S. Helgason, Geometric analysis on symmetric spaces, Providence, RI, 199410.1090/surv/039/02Search in Google Scholar

[6] M. S. Younis, Fourier transforms of Dini-Lipschitz functions, Int. J. Math. Math. Sci., 9 (2), (1986), 301-312, doi:10.1155/S0161171286000376Search in Google Scholar

[7] S. S. Platonov, Approximation of functions in L2-metric on noncompact rank 1 symmetric space, Algebra Analiz., 11 (1), (1999), 244-270Search in Google Scholar

[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-zSearch in Google Scholar

[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.2008.06.017Search in Google Scholar

[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_1Search in Google Scholar

eISSN:
1841-3307
Langue:
Anglais
Périodicité:
Volume Open
Sujets de la revue:
Mathematics, General Mathematics