A simple proof of a duality theorem with applications in viscoelasticity
Classical Analysis and ODEs
2018-04-12 v1
Abstract
A new concise proof is given of a duality theorem connecting completely monotone relaxation functions with Bernstein class creep functions. The proof makes use of the theory of complete Bernstein functions and Stieltjes functions and is based on a relation between these two function classes.
Cite
@article{arxiv.1804.03690,
title = {A simple proof of a duality theorem with applications in viscoelasticity},
author = {Andrzej Hanyga},
journal= {arXiv preprint arXiv:1804.03690},
year = {2018}
}