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The Lebesgue summability of trigonometric integrals
- Source :
-
Journal of Mathematical Analysis & Applications . Jun2012, Vol. 390 Issue 1, p188-196. 9p. - Publication Year :
- 2012
-
Abstract
- Abstract: Motivated by the notion of Lebesgue summability of trigonometric series, we define the Lebesgue summability of trigonometric integrals in terms of the symmetric differentiability of the sum of the formally integrated trigonometric integral in question. We extend two theorems of Zygmund from trigonometric series to integrals, and one of them even in a more general form. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 390
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 71766042
- Full Text :
- https://doi.org/10.1016/j.jmaa.2012.01.027