We describe the structure of distributions supported on conical surfaces and calculate the Fourier transform for some cones. The results are represented as convolutions with particular kernels. We use transmutation operators owing to which it is possible to clarify connections between the change of variables for a distribution and its Fourier transform. Bibliography: 17 titles.
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Translated from Problemy Matematicheskogo Analiza 103, 2020, pp. 63-70.
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Vasil’ev, V.B. Distributions Supported on Conical Surfaces and Generated Convolutions. J Math Sci 249, 885–893 (2020). https://doi.org/10.1007/s10958-020-04981-0
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DOI: https://doi.org/10.1007/s10958-020-04981-0