Abstract
Questions regarding the completeness and the minimality of systems of exponentials on curves are investigated. The analogues of the classical Hardy spaces are considered.
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Literature cited
B. Ya. Levin, “On the bases of exponential functions in L2(−π, π),” Zap. Mat. Otd. Fiz.-Mat. Fak. Khark. Gos. Univ. i Khark. Mat. Obshch. (Ser. 4),27, 39–48 (1961).
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Yu. I. Lyubarskii, “Systems of exponentials in spaces of functions, defined on curves,” Preprint Akad. Nauk Ukr. SSR, FTINT, No. 677877-87, Kharkov (1987).
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Additional information
Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 50, pp. 115–127, 1988.
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Lyubarskii, Y.I. Analogues of the V. I. Smirnov spaces for nonintegral exponents. J Math Sci 49, 1319–1328 (1990). https://doi.org/10.1007/BF02209182
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DOI: https://doi.org/10.1007/BF02209182