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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
About the equality of the transform of Laplace to the transform of Fourier
A. V. Pavlov Moscow Institute of Radio-technics, Electronics and Automatics (MTU),
78, Vernadsky Avenue, 119454 Moscow, Russia
Аннотация:
We proved that the transform of Laplace does not have complex part on the complex axis for the wide class of functions in different situations. The main theorem is proved presenting a function as sum of two Laplace transforms. The transforms are defined in the left and right parts of the plain accordingly. Such presentation is proved to be unique. With help of the results we obtain equality of the transforms of Laplace and Fourier for some class of functions.
Ключевые слова:
Laplace transform; Fourier transforms; Dirichlet problem; new inverse of Laplace transform.
Поступила в редакцию: 06.02.2016 Исправленный вариант: 05.07.2016 Принята в печать: 30.06.2016
Образец цитирования:
A. V. Pavlov, “About the equality of the transform of Laplace to the transform of Fourier”, Пробл. анал. Issues Anal., 5(23):1 (2016), 21–30
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/pa205 https://www.mathnet.ru/rus/pa/v23/i1/p21
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Страница аннотации: | 140 | PDF полного текста: | 77 | Список литературы: | 22 |
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