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Properties of the Discrete Hilbert Transform.
- Source :
- Complex Analysis & Operator Theory; Nov2019, Vol. 13 Issue 8, p3883-3897, 15p
- Publication Year :
- 2019
-
Abstract
- The asymptotic behavior of the distribution function of the Hilbert transform of sequences from the class l<subscript>1</subscript> is studied. The concept of Q-summability of series is introduced; using this notion, it is shown that the Hilbert transform of a sequence from the class l<subscript>1</subscript> is Q-summable and is Q-sum is zero. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16618254
- Volume :
- 13
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Complex Analysis & Operator Theory
- Publication Type :
- Academic Journal
- Accession number :
- 139365128
- Full Text :
- https://doi.org/10.1007/s11785-019-00936-9