Rewrite https://mysite.com to https://www.mysite.com

[Thomas]

Hi list,

I have purchased an SSL certificate for www.mysite.com, therefore I
would like to rewrite any incoming request from https://mysite.com to
https://www.mysite.com in order to avoid the web browser saying the
certificate is not valid and that there my be fraud. How can I do
that?

It works well for http, but for https, the web browser keeps
complaining the certificate is not valide for mysite.com