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Algebraic and the geometric components of the Chebyshev rank of systems of vector-valued functions

✍ Scribed by A. L. Garkavi


Publisher
SP MAIK Nauka/Interperiodica
Year
1991
Tongue
English
Weight
536 KB
Volume
31
Category
Article
ISSN
0037-4466

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On the Fourier-Coefficients of Vector-Va
✍ Hermann KΓΆnig πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 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