Abstract
The method of delta sequences is used to construct hybrid Legendre-Fourier transforms on a polar axis. As a delta sequence we use the fundamental solution of the Cauchy problem for the corresponding separated system of the classical parabolic and ∧-parabolic equations for thermal conductivity. A fundamental identity is obtained for the integral transform of a differential operator.
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Translated fromVychislitel'naya i Prikladnaya Matematika, No. 69, pp. 51–56, 1989.
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Shinkarik, N.I. Hybrid Legendre-Fourier integral transforms on the polar axis. J Math Sci 67, 3070–3074 (1993). https://doi.org/10.1007/BF01098142
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DOI: https://doi.org/10.1007/BF01098142