Index transforms with Weber type kernels

2017/11/06 by Yakubovich, Semyon
#33C10 #44A05 #44A15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1711.01933

Abstract

New index transforms with Weber type kernels, consisting of products of Bessel functions of the first and second kind 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.

Related

• New index transforms with the product of Bessel functions
• Index transforms with the square of Bessel functions
• Index transforms with the product of the associated Legendre functions
• Index transforms with the squares of Kelvin functions
• Lebedev's type index transforms with the modified Bessel functions