The theory of functions of several complex variables is the branch of mathematics dealing with functions
- f(z1, z2, ..., zn)
on the space Cn of n-tuples of complex numbers. As in complex analysis, which is the case n = 1 but of a distinct character, these are not just any functions: they are supposed to be analytic, so that locally speaking they are power series in the variables zi.
Equivalently, as it turns out, they are locally uniform limits of polynomials; or locally square-integrable solutions to the n-dimensional Cauchy–Riemann equations.
Read more about Several Complex Variables: Historical Perspective
Famous quotes containing the words complex and/or variables:
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