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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 438, Pages 203–224
(Mi znsl6192)
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This article is cited in 2 scientific papers (total in 2 papers)
Generalized trigonometric integral transformations
V. E. Petrov St. Petersburg, Russia
Abstract:
We study some generalizations of the Fourier and Hartley transformations on $\mathbb R$ and $\mathbb R^n$. These transformations involve functional coefficients. The Parceval identities, convolution formulas, conditions of selfadjointness and unitary property for new transformations are obtained.
Key words and phrases:
integral transformations, integral equations, convolution operators.
Received: 10.11.2015
Citation:
V. E. Petrov, “Generalized trigonometric integral transformations”, Mathematical problems in the theory of wave propagation. Part 45, Zap. Nauchn. Sem. POMI, 438, POMI, St. Petersburg, 2015, 203–224; J. Math. Sci. (N. Y.), 224:1 (2017), 135–149
Linking options:
https://www.mathnet.ru/eng/znsl6192 https://www.mathnet.ru/eng/znsl/v438/p203
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Abstract page: | 162 | Full-text PDF : | 53 | References: | 22 |
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