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Hermitian function (Definition)

A Hermitian function is complex valued function whose real part is even and imaginary part is odd.

Definition

Let $ f(x)$ be a complex valued function of a real variable $ x$. $ f(x)$ is a Hermitian function if $ f(-x)=\overline{f(x)}$ for all $ x$.



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See Also: even and odd functions
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Cross-references: variable, real, odd, imaginary part, even, real part, function, complex

This is version 3 of Hermitian function, born on 2008-03-21, modified 2008-03-26.
Object id is 10429, canonical name is HermitianFunction.
Accessed 196 times total.

Classification:
AMS MSC: 11E39 (Number theory :: Forms and linear algebraic groups :: Bilinear and Hermitian forms)
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