support of integrable function is -finite
: Let , and for each let . Since is integrable, we must necessarily have for each , because
Since and have the same support, and the the support of the latter is , it follows that the support of is -finite.
|Title||support of integrable function is -finite|
|Date of creation||2013-03-22 18:38:47|
|Last modified on||2013-03-22 18:38:47|
|Last modified by||asteroid (17536)|
|Defines||functions have -finite support|