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A theory of composites perspective on matrix valued Stieltjes functions

Mathematical Physics 2022-11-21 v2 Analysis of PDEs math.MP

Abstract

A series of physically motivated operations appearing in the study of composite materials are interpreted in terms of elementary continued fraction transforms of matrix valued, rational Stieltjes functions.

Keywords

Cite

@article{arxiv.2206.02926,
  title  = {A theory of composites perspective on matrix valued Stieltjes functions},
  author = {Graeme W. Milton and Mihai Putinar},
  journal= {arXiv preprint arXiv:2206.02926},
  year   = {2022}
}

Comments

16 pages, 2 figures