We obtain inverse formulas for the Fourier coefficients of functions in the space of just meromorphic functions in the upper half-plane of complex variable. Both inverse and direct formulas can be interpreted as generalizations of the known Carleman formula.
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Translated from Problemy Matematicheskogo Analiza 113, 2022, pp. 81-87.
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Malyutin, K.G., Kabanko, M.V. Inverse Formulas for the Fourier Coefficients of Meromorphic Functions in a Half-Plane. J Math Sci 260, 798–805 (2022). https://doi.org/10.1007/s10958-022-05728-9
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DOI: https://doi.org/10.1007/s10958-022-05728-9