integrable function in a sentence

Examples

1. If the type of partition is limited too much, some non-integrable functions may appear to be integrable.
2. Since the integral of an integrable function on a set of probability 0 is 0, this proves absolute continuity.
3. In the " Schr�dinger model ", the Heisenberg group acts on the space of square integrable functions.
4. The possibility that an integral is unbounded must be avoided, hence attention is restricted to square-integrable functions.
5. The theorem now holds for square integrable functions on G instead of class functions and the subgroup H must be closed.
6. An integrable function, in Lebesgue's theory, is equivalent to any other which is the same almost everywhere.
7. Despite their apparent higher generality, locally-integrable functions form a subset of locally integrable functions for every such that.
8. Despite their apparent higher generality, locally-integrable functions form a subset of locally integrable functions for every such that.
9. :: ( b ) There is a constant such that for any locally integrable function on, and all balls:
10. These are precisely the square-integrable functions that arise as boundary values of holomorphic functions in the open unit disk.