• Corpus ID: 219966153

# A unifying perspective on linear continuum equations prevalent in science. Part VI: rapidly converging series expansions for their solution

@article{Milton2020AUP,
title={A unifying perspective on linear continuum equations prevalent in science. Part VI: rapidly converging series expansions for their solution},
author={Graeme W. Milton},
journal={arXiv: Mathematical Physics},
year={2020}
}
• G. Milton
• Published 15 June 2020
• Physics, Mathematics
• arXiv: Mathematical Physics
We obtain rapidly convergent series expansions of resolvents of operators taking the form ${\bf A}=\Gamma_1{\bf B}\Gamma_1$ where $\Gamma_1({\bf k})$ is a projection that acts locally in Fourier space and ${\bf B}({\bf x})$ is an operator that acts locally in real space. Such resolvents arise naturally when one wants to solve any of the large class of linear physical equations surveyed in Parts I, II, III, and IV that can be reformulated as problems in the extended abstract theory of composites…
3 Citations

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