In mathematical analysis, a Hermitian function is a complex function with the property that its complex conjugate is equal to the original function with the variable changed in sign:
for all in the domain of .
This definition extends also to functions of two or more variables, e.g., in the case that is a function of two variables it is Hermitian if
for all pairs in the domain of .
From this definition it follows immediately that, if is a Hermitian function, then
- the real part of is an even function
- the imaginary part of is an odd function
Read more about Hermitian Function: Motivation
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