A Parseval-type Theorem Applied to Certain Integral Transforms
- 1 September 1989
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 42 (3) , 241-249
- https://doi.org/10.1093/imamat/42.3.241
Abstract
In this paper, a Parseval-type theorem for Laplace and Stieltjes transforms is proved. The theorem yields a number of corollaries about Laplace, Stieltjes, generalized Stieltjes, potential, Laguerre, and Weyl transforms. The theorem gives some methods for solving certain types of integral equations and evaluating infinite integrals.Keywords
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