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Various Function Spaces 📂Hilbert Space

Various Function Spaces

Definition

A set of functions $X$ is called a function space if it forms a vector space.

Explanation

In the function space $X$, the inner product is defined by integration as follows.

$$ \langle f, g \rangle = \int f(x) g(x) dx,\quad f,g\in X $$

The main function spaces considered include the following.

See Also