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Several comments on the Henstock-Kurzweil and McShane integrals of vector-valued functions

✍ Scribed by Kirill Naralenkov

Book ID
113063578
Publisher
Springer
Year
2011
Tongue
English
Weight
151 KB
Volume
61
Category
Article
ISSN
0011-4642

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πŸ“œ SIMILAR VOLUMES

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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