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arXiv · 1810.06372

Index transforms with the squares of Kelvin functions

Semyon Yakubovich
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Abstract

New index transforms, involving squares of Kelvin functions, are investigated. Mapping properties and inversion formulas are established for these transforms in Lebesgue spaces. The results are applied to solve a boundary value problem on the wedge for a fourth order partial differential equation.

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Semyon Yakubovich. 2018-10-12. Index transforms with the squares of Kelvin functions. https://arxiv.org/abs/1810.06372

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