Recovering a function from its trigonometric integral
Journal Article
·
· Sbornik. Mathematics
- M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow (Russian Federation)
The approximate symmetric Henstock-Kurzweil integral is shown as solving the problem of the recovery of a function from its trigonometric integral. This being so, we generalize Offord's theorem, which is an analogue of de la Vallee Poussin's theorem for trigonometric series. A new condition for a function to be representable by a singular Fourier integral is also obtained. Bibliography: 10 titles.
- OSTI ID:
- 21418079
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 7 Vol. 201; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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