- #1
Poopsilon
- 294
- 1
I vaguely recollect that the following statement is true:
Let f be analytic on a connected set D, then if f is constant on some nonempty open subset of D then it is constant on all of D.
Can anyone confirm that this is true and is it a specific theorem? Thanks.
Let f be analytic on a connected set D, then if f is constant on some nonempty open subset of D then it is constant on all of D.
Can anyone confirm that this is true and is it a specific theorem? Thanks.