Document Zbl 1055.44006

On the Kontorovich-Lebedev transformation. (English) Zbl 1055.44006

J. Integral Equations Appl. 15, No. 1, 95-112 (2003).

The author proves some results on properties of the Kontorovich-Lebedev transform, such as boundedness and compactness in certain spaces of measurable functions with weight. An application on the solution of a Fredholm integral equation is given.

Reviewer: H.-J. Glaeske (Jena)

Cited in 11 Documents

MSC:

44A15	Special integral transforms (Legendre, Hilbert, etc.)
45B05	Fredholm integral equations

Keywords:

Kontorovich-Lebedev transform; McDonald function; boundedness; compactnes; Fredholm integral equation

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References:

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