Geodesic
Properties and applications of a certain operator associated with the Kontorovich-Lebedev transform†
Glasgow mathematical journal, Tome 16 (1975) no. 2, pp. 109-122

Voir la notice de l'article provenant de la source Cambridge University Press

The integralarises in problems of scalar wave propagation in welded elastic wedges. In (1.1), Kim(β1r) is the modified Bessel function of the second kind and m, τ are real. It is shown that Q(τ, m) is a generalized function that includes a complex shift operator. We shall investigate the properties of this operator and establish a new integral transform based on the kernel Q(τ, m). 
Ben-Menahem, Ari. Properties and applications of a certain operator associated with the Kontorovich-Lebedev transform†. Glasgow mathematical journal, Tome 16 (1975) no. 2, pp. 109-122. doi: 10.1017/S0017089500002603
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