On solutions of a class of matrix-valued convolution equations
Mathematical Physics
2018-05-24 v2 math.MP
Abstract
We apply a relation between matrix-valued complete Bernstein functions and matrix-valued Stieltjes functions to prove that certain convolution equations for matrix-valued functions have unique solutions in a special class of functions. In particular the cases of the viscoelastic duality theorem and the Sonine equation are discussed, with applications in anisotropic linear viscoelasticity and a generalization of fractional calculus.
Cite
@article{arxiv.1805.02471,
title = {On solutions of a class of matrix-valued convolution equations},
author = {Andrzej Hanyga},
journal= {arXiv preprint arXiv:1805.02471},
year = {2018}
}