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Square Integrable

A function f(x) is square integrable if

int_(-infty)^infty|f(x)|^2dx

is finite.

See also

Integrable, L2-Norm, Titchmarsh Theorem

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References

Sansone, G. "Square Integrable Functions." §1.1 in Orthogonal Functions, rev. English ed. New York: Dover, pp. 1-2, 1991.

Referenced on Wolfram|Alpha

Square Integrable

Cite this as:

Weisstein, Eric W. "Square Integrable." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SquareIntegrable.html

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