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On the regular convergence of multiple integrals of locally Lebesgue integrable functions over

✍ Scribed by Ferenc Móricz


Book ID
116390004
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
160 KB
Volume
350
Category
Article
ISSN
1631-073X

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On the convergence of Fourier series of
✍ Philippe Moser 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 130 KB

This paper studies how well computable functions can be approximated by their Fourier series. To this end, we equip the space of L p -computable functions (computable Lebesgue integrable functions) with a size notion, by introducing L p -computable Baire categories. We show that L p -computable Bair