Generalized integral transformations (Q493702)
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scientific article; zbMATH DE number 6478559
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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0.94827974
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0.9250212
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