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Article Contents

# Riesz systems and moment method in the study of viscoelasticity in one space dimension

• In this paper we study the equation of linear viscoelasticity and we prove that two sequences of functions, naturally associated with this equation, are Riesz systems. These sequences appear naturally when observability and controllability problems are reformulated in terms of suitable interpolation/moment problems.
The key contribution of the paper is to be found in the way used to prove that the two sequences are Riesz systems, an idea already applied to the study of different control problems.
Mathematics Subject Classification: Primary: 47N70, 93C05; Secondary: 74D05.

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