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Generalized integral transformations - MaRDI portal

Generalized integral transformations (Q493702)

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scientific article; zbMATH DE number 6478559
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Generalized integral transformations
scientific article; zbMATH DE number 6478559

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    Generalized integral transformations (English)
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    4 September 2015
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    The authors introduce fractional powers of a pair of Hankel-Clifford transformations of order \(\nu\geq 0\) depending on a real parameter \(\mu\). Then, pseudo-differential operators involving these fractional powers are studied in detail. Some Sobolev-type spaces are also considered. The obtained results are used to solve certain differential equations involving Kepinski-type operators.
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    fractional Hankel-Clifford transformation
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    pseudo-differential operator
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    Zemanian-type space
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    fractional Hankel-Clifford convolution
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