A simple proof of a duality theorem with applications in viscoelasticity

Publication date: 9 April 2018

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.

Mathematics Subject Classification ID

Linear constitutive equations for materials with memory (74D05) Harmonic analysis in one variable (42A99)

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