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Fourier transforms of Dini-Lipschitz functions

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  • M. S. Younis

Abstract

It is well known that if Lipschitz conditions of a certain order are imposed on a function f ( x ) , then these conditions affect considerably the absolute convergence of the Fourier series and Fourier transforms of f . In general, if f ( x ) belongs to a certain function class, then the Lipschitz conditions have bearing as to the dual space to which the Fourier coefficients and transforms of f ( x ) belong. In the present work we do study the same phenomena for the wider Dini-Lipschitz class as well as for some other allied classes of functions.

Suggested Citation

  • M. S. Younis, 1986. "Fourier transforms of Dini-Lipschitz functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-12, January.
    • Handle: RePEc:hin:jijmms:783650
    DOI: 10.1155/S0161171286000376
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    Cited by:

    1. Radouan Daher & Mohamed El Hamma, 2013. "Bessel Transform of -Bessel Lipschitz Functions," Journal of Mathematics, Hindawi, vol. 2013, pages 1-3, April.

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