The infinite-order integro-differential operator related to the Lebedev-Skalskaya transform (Q6592847)

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scientific article; zbMATH DE number 7901414
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The infinite-order integro-differential operator related to the Lebedev-Skalskaya transform
scientific article; zbMATH DE number 7901414

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    The infinite-order integro-differential operator related to the Lebedev-Skalskaya transform (English)
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    26 August 2024
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    The article contains a study about infinite order integro-differential operators in terms of the Lebedev-Skalskaya transform. Further, some condition for operator to be unitary are deduced. The article shows a glimpse that such kind of investigation can also be carried out for some different kind of integral transformation. There are several kinds of integral transformations with certain restrictions corresponding to their cases. By analyzing the steps given in this paper, such research might be carried out. As far as the calculations are concerned, they are correct.
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    convolution
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    Lebedev-Skalskaya transform
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    infinite-order differential operator
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    Watson theorem
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