https://doi.org/10.4169/amer.math.monthly.124.6.535 https://www.jstor.org/stable/10.4169/amer.math.monthly.124.6.535 We investigate functions with the property that ...

Harmonic functions, defined as twice continuously differentiable functions satisfying Laplace’s equation, have long been a subject of intense study in both pure and applied mathematics. Their ...

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 ...

Lie groups provide a natural framework for describing continuous symmetries in both mathematics and physics. These groups, which are simultaneously smooth manifolds, allow for the integration of ...