Harmonic mappings and logharmonic functions occupy a central role in complex analysis and applied mathematics. Harmonic mappings are functions that satisfy Laplace’s equation and are frequently ...

This is a preview. Log in through your library . Abstract A continuous function on the complex plane is harmonic if and only if the span of its compositions with entire functions is not dense in the ...

In the early nineteenth century, the French mathematical physicist Joseph Fourier showed that many mathematical functions can be represented as the weighted sum of a series of sines and cosines of ...

Practical interpolation schemes for functions of more than one variable need not be finite-dimensional as in the case of univariate functions. The so-called "blending-function methods" are one example ...