Mathematical Physics
[Submitted on 7 May 2018 (v1), last revised 23 May 2018 (this version, v2)]
Title:On solutions of a class of matrix-valued convolution equations
View PDFAbstract: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.
Submission history
From: Małgorzata Seredyńska [view email][v1] Mon, 7 May 2018 12:28:06 UTC (8 KB)
[v2] Wed, 23 May 2018 15:10:01 UTC (9 KB)
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