Square-integrable functions ↩

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created: 2021-12-10 21:54:33
modified: 2022-06-15 01:14:14

The set of all square-integrable functions on a specified interval satisfy this:

This is often denoted by or just simply if the interval is . The interval can even be for example .

forms a Hilbert space with the inner product:

This is a vector space, thus a function space as well.

Remarks

In quantum mechanics, the wave functions are square-integrable functions.