Weighted spherical means generated by generalized translation and general Euler-Poisson-Darboux equation

2017/03/18 by Elina Shishkina, Shishkina, Elina · 1 citation
Mathematics · #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1703.06340

openalex publication_date 2017/03/18 · openalex created_date 2018/01/26 · openalex updated_date 2026/07/28

Abstract

We consider the spherical mean generated by a multidimensional generalized translation and general Euler-Poisson-Darboux equation corresponding to this mean. The Asgeirsson property of solutions of the ultrahyperbolic equation that includes singular differential Bessel operators acting by each variable is provided.

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