L^2-Inner Product

The L^2-inner product of two real functions f and g on a measure space X with respect to the measure mu is given by

sometimes also called the bracket product, where the symbol <f,g> are called angle brackets. If the functions are complex, the generalization of the Hermitian inner product

is used.

See also

Angle Bracket, Bra, Hilbert Space, Inner Product, Ket, Lebesgue Integral, L2-Function, L2-Space

This entry contributed by Todd Rowland

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Cite this as:

Rowland, Todd. "L^2-Inner Product." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/L2-InnerProduct.html

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