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Zapiski Nauchnykh Seminarov LOMI, 1991, Volume 195, Pages 19–28
(Mi znsl5022)
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The Weak Rayleigh Hypothesis and some Properties of the Metaharmonic Function Systems
V. F. Badjukov
Abstract:
The present work considers a two-dimensional scalar problem of scattering on the periodic boundaries. The properties of function systems arising at realization of the generalized method of separation of variables such as minimality and baseness are investigated. Rigorous statements of the weak Rayleigh hypothesis and also the weak Rayleigh hypothesis in the wide-sense and the weak Rayleigh hypothesis in the narrow-sense are given. The necessary and sufficient conditions of their validity are received.
Citation:
V. F. Badjukov, “The Weak Rayleigh Hypothesis and some Properties of the Metaharmonic Function Systems”, Mathematical problems in the theory of wave propagation. Part 21, Zap. Nauchn. Sem. LOMI, 195, Nauka, St. Petersburg, 1991, 19–28; J. Soviet Math., 62:6 (1992), 3062–3068
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https://www.mathnet.ru/eng/znsl5022 https://www.mathnet.ru/eng/znsl/v195/p19
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Abstract page: | 137 | Full-text PDF : | 51 |
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