Fourier Coefficients and Generalized Lipschitz Classes

S. S. Volosivets

doi:rae/1242738933

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Home > Journals > Real Anal. Exchange > Volume 34 > Issue 1 > Article

2008/2009 Fourier Coefficients and Generalized Lipschitz Classes

S. S. Volosivets

Real Anal. Exchange 34(1): 219-226 (2008/2009).

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Abstract

In this paper we give some equivalence relations between behavior of Fourier coefficients of a special kind and smoothness of functions. A necessary and sufficient condition for existence of Schwartz derivative is also obtained.