5
$\begingroup$

Is it possible to define a multiple integral or multiple sums to infinite order ? Something like $\int\int\int\int\cdots$ where there are infinite number of integrals or $\sum\sum\sum\sum\cdots$ . Does infinite valued functions exist (Something like $R^\infty \rightarrow R^n$ ) ?

  • 1
    You can formalize such things with the concept of *product measure*.2012-12-10

3 Answers 3