On the generalized Hankel type integral transformation of generalized functions. II (Q2764604)
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scientific article; zbMATH DE number 1690716
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the generalized Hankel type integral transformation of generalized functions. II |
scientific article; zbMATH DE number 1690716 |
Statements
27 February 2002
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generalized Hankel-type transformation
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generalized function
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countable union space
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inversion theorem
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kernel method
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Cauchy problem
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Bessel-type operator
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0.98393184
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0.9785112
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0.93386173
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On the generalized Hankel type integral transformation of generalized functions. II (English)
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By means of the kernel method, the author extends to spaces of generalized functions a variant of the Hankel integral transformation depending on three additional parameters which is related to that studied in [Part I, Indian J. Pure Appl. Math. 31, 197-206 (2000; Zbl 0962.46031)] by a Parseval equation of mixed type. Smoothness, boundedness, inversion and uniqueness results along with an operational calculus for a corresponding Bessel-type differential operator are obtained and applied to solve certain Cauchy problems.
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