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On the Lebesgue test for convergence of Fourier series on unbounded Vilenkin groups

✍ Scribed by M. Avdispahić; N. Memić


Publisher
Akadmiai Kiad
Year
2010
Tongue
English
Weight
522 KB
Volume
129
Category
Article
ISSN
1588-2632

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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