Analysis on product spaces
In the last twenty years or so, analysts have worked with so-called metric spaces, which generalise Euclidean space, manifolds, and fractals.
Others have worked on so-called product spaces, where balls are replaced by products of balls.
This talk is a report on joint work with many others that attempts to “complete the square” by working on products of metric spaces.
In particular It will explained some results on the symmetries of product metric spaces.