On the Fourier-Coefficients of Vector-Va
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Hermann KΓΆnig
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Article
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1991
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John Wiley and Sons
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English
β 522 KB
We study the decay of the FOURIER-coefficients of vector-valued functions F :T --+ X, X a BANAFH space. Differentiable functions f generally have absolutely sumrnable FOURIER-coefficients, 1 Ilf(n)ll < 00, iff X is K-convex. More precise statements on the decay of Ilf(n)ll for regular functions fcan