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Growth and Integrability of Fourier Transforms on Euclidean Space

✍ Scribed by Bray, William O.


Book ID
126268382
Publisher
SP Birkhäuser Verlag Boston
Year
2014
Tongue
English
Weight
411 KB
Volume
20
Category
Article
ISSN
1069-5869

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📜 SIMILAR VOLUMES


Two spaces conditions for integrability
✍ Liflyand, Elijah; Ournycheva, Elena 📂 Article 📅 2008 🏛 Oldenbourg Wissenschaftsverlag 🌐 English ⚖ 152 KB

Tests for the integrability of the Fourier transform of a function are given in terms of belonging of the function simultaneously to two spaces of smooth functions. These are, in a sense, generalizations of Zygmund's test for the absolute convergence of Fourier series.