The Open Collections website will be undergoing maintenance on Wednesday December 7th from 9pm to 11pm PST. The site may be temporarily unavailable during this time.

BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

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


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.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International