Composition operators and Dirichlet series are central topics within functional analysis that bridge operator theory, analytic number theory and complex analysis. At their core, composition operators ...
In Example IV.2.1 we studied the Fourier series for a periodic square wave: Shown below is an animation showing the influence on the addtion of terms in the Fourier series to produce this periodic ...
A mathematical theorem stating that a PERIODIC function f(x) which is reasonably continuous may be expressed as the sum of a series of sine or cosine terms (called the Fourier series), each of which ...
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