Fourier Inversion Formula
Proposition (Multiplication formula)
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Fourier Transform
Definition We define (if the limit exists)
Continuous but nowhere differentiable function
Theorem If $0<\alpha <1$, then the function
Weyl’s Equidistribution Theorem
Definition 1.1 Let $x\in\mathbb{R}$ be a real number. Then
Fourier series and the isoperimetric inequality
Definition 1.1 A $\mathscr{C}^1$ mapping