On a non-self adjoint eigenfunction expansion

D. Naylor

International Journal of Mathematics and Mathematical Sciences, 1984, vol. 7, 1-14

Abstract:

This paper develops a formula of inversion for an integral transform similar to that associated with the names of Kontorovich and Lebedev. The kernel involves the Hankel function H u ( 1 ) ( k r ) , in which r varies over a truncated infinite interval a ≤ r < ∞ , where a > 0 and the parameter k is complex. This kind of transform is useful in the investigation of functions that satisfy the Helmholtz equation and the condition of radiation.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:603259

DOI: 10.1155/S0161171284000247

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