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BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

On the correspondence between subspace collections and Herglotz functions Milton, Graeme

Description

The response of many passive linear physical systems are governed by Herglotz or Stieltjes functions. Typically associated with these functions is some sort of Hilbert space, or in the case of composites, a subspace collection. Operations on Herglotz or Stieltjes function often have a parallel operation on subspace collections. Here we will explore this correspondence. Also we give representation formulas for the effective (conductivity, elastic, piezoelectric, etc.) properties of two-dimensional composites of two anisotropic phases.

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Attribution-NonCommercial-NoDerivatives 4.0 International