Index transforms with the squares of Kelvin functions

2018/10/12 by Semyon Yakubovich, Yakubovich, Semyon
Computer Science · Mathematics · #33C10 #44A05 #44A15 #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #Digital Filter Design and Implementation #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1810.06372

openalex publication_date 2018/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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