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On the Fourier coefficients of contracted functions

✍ Scribed by L. A. Balašov; V. I. Prohorenko


Book ID
112690447
Publisher
Springer
Year
1979
Tongue
English
Weight
217 KB
Volume
5
Category
Article
ISSN
0133-3852

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On the Fourier-Coefficients of Vector-Va
✍ Hermann König 📂 Article 📅 1991 🏛 John Wiley and Sons 🌐 English ⚖ 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