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An inequality of Paley and convergence a.e. of Walsh-Fourier series

✍ Scribed by Per Sjölin

Book ID
112788945
Publisher
Springer Netherlands
Year
1969
Tongue
English
Weight
707 KB
Volume
7
Category
Article
ISSN
0004-2080

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Effective Fine-convergence of Walsh-Four
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✍ Takakazu Mori; Mariko Yasugi; Yoshiki Tsujii 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 182 KB

## Abstract We define the effective integrability of Fine‐computable functions and effectivize some fundamental limit theorems in the theory of Lebesgue integrals such as the Bounded Convergence Theorem, the Dominated Convergence Theorem, and the Second Mean Value Theorem. It is also proved that th