Hi everybody, could you explain to me, as simple as possible, why an analytic function
regular in a domain G (open and connected) cannot be constant throughout a sub-domain
of G without being a constant throughout all of G?
Thank you very much.
Hi everybody, could you explain to me, as simple as possible, why an analytic function
regular in a domain G (open and connected) cannot be constant throughout a sub-domain
of G without being a constant throughout all of G?
Thank you very much.
By the identity theorem.
Do you see why?