I am not a (complex) analyst but it seems that some of the questions I am working on are related to the following concepts:

- logarithmic capacity
- transfinite diameter
- Green's function of a compact set
- System of Fekete points
- upper regularization

I have looked at various books but some of them are very old (e.g., Hille's *Analytic function theory* which was published in 1962), and most of them just explain the subject briefly. I am looking for references which are more on the advanced side rather than elementary, to be able to find in them the results I need.

Any suggestions?