Fourier transforms of Dini-Lipschitz functions

M. S. Younis

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-12

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.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:783650

DOI: 10.1155/S0161171286000376

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