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Approximation of sums of oscillating summands in certain physical problemsстатья
- Автор: Karatsuba Ekatherina A.
- Журнал: Journal of Mathematical Physics
- Том: 45
- Год издания: 2004
- Издательство: AIP Publishing
- Местоположение издательства: United States
- Первая страница: 4310
- DOI: 10.1063/1.1797552
- Аннотация: The motion of a one-dimensional harmonic oscillator caused by recurring pushes in the absence of friction is considered. In particular, two cases are studied: the case when the pushes become more frequent and the other one when the pushes become less frequent. By means of an application of the Hardy–Littlewood–Vinogradov–Van der Corput theorem on the approximation of exponential sums by shorter ones, new asymptotic formulas for the solution of the problem are obtained.https://doi.org/10.1063/1.1797552
- Добавил в систему: Карацуба Екатерина Анатольевна