A viscoelastic modulus admits an exact finite Prony series if and only if its Mellin kernel pole lattices align arithmetically with the constitutive integer lattice and residues satisfy decoupled first-order recurrences.
Hristov, Response functions in linear viscoelastic constitutive equations and re- lated fractional operators, Mathematical Modelling of Natural Phenomena 14 (3) (2019) 305
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Mellin-Space Prony Representability of Linear Viscoelastic Models
A viscoelastic modulus admits an exact finite Prony series if and only if its Mellin kernel pole lattices align arithmetically with the constitutive integer lattice and residues satisfy decoupled first-order recurrences.