New posts in fourier-series

Jacobian of Fourier Transformation

Mistake in proof of Lemma 2.3 in Chapter 3 of Stein and Shakarchi's Fourier Analysis

Deriving formula from Fourier series: $\frac{\pi^2}{12} = \sum\limits_{n=1}^{\infty} \frac{(-1)^{n+1}}{n^2}$

Computation of $\int_0^{2\pi} \frac{x^2 \sin{x}}{1 - 2a\cos{x} + a^2}$

Translation of a certain proof of $(\sum k)^2 = \sum k^3 $

Cesaro summable implies that $c_{n}/n$ goes to $0$

Fourier series for $f(x)=(\pi -x)/2$

Fourier Series involving the Jacobi Symbol

Finding Fourier cosine series of sine function

Poisson summation formula clarification regarding Fejer kernel

What are the limitations /shortcomings of Fourier Transform and Fourier Series?

Littlewood-Paley decomposition

Fourier coefficients of smooth functions behave like Schwartz functions? [duplicate]

Fourier series on general interval $[a,b]$

Fourier transform with branch cuts

Fourier transform vs Fourier series

Ergodicity of a skew product

Fourier series for $\sin^2(x)$

Differentiability and decay of magnitude of fourier series coefficients

Calculate Fourier series of $f(x)=x^2$ , $x \in \ [-\pi,\pi]$