New posts in fourier-series

How to find the sum $1+\frac{1}{2}-\frac{1}{4}-\frac{1}{5}+\frac{1}{7}+\frac{1}{8}-\frac{1}{10}-\frac{1}{11}+\cdots =\ ?$

sequences-and-series convergence-divergence summation fourier-analysis fourier-series

Compute $\sum\limits_{n = 1}^{\infty} \frac{1}{n^4}$.

calculus sequences-and-series partial-differential-equations fourier-series

How to evaluate $\int_0^1 {\cos(tx)\over \sqrt{1+x^2}}\,\mathrm{d}x$?

integration fourier-series

Why isn't Fourier Series taught in calculus 2? [closed]

calculus fourier-series self-learning

Generalized Fourier series in $L^2$ that do not converge pointwise a.e.

functional-analysis hilbert-spaces fourier-series

Difficulty in understanding a part in a proof from Stein and Shakarchi Fourier Analysis book.

integration polynomials continuity fourier-analysis fourier-series

Are Fourier series a basis for $L^2((-\pi,\pi)^m)$?

fourier-analysis lebesgue-integral fourier-series orthonormal

Fourier series of function $f(x)=0$ if $-\pi<x<0$ and $f(x)=\sin(x)$ if $0<x<\pi$

complex-analysis integration fourier-series

Fourier series expanding of holomorphic functions

complex-analysis fourier-series

Can Fourier transform be seen as a decomposition over a basis in a space of tempered distributions

fourier-analysis hilbert-spaces fourier-series distribution-theory

About the integral $\int_{0}^{1}\text{arctanh}(x)\arcsin(x)\frac{dx}{x}$

definite-integrals fourier-series special-functions hypergeometric-function

Beautiful monster: Catalan's constant and the Digamma function

integration definite-integrals fourier-series digamma-function catalans-constant

Proving that $\lim_{s \to 0^-} \int_{0}^{\infty} \frac{\arcsin(\sin x)}{x} x^{s} \, dx = \int_{0}^{\infty} \frac{\arcsin(\sin x)}{x} \, dx $

real-analysis integration limits fourier-series mellin-transform

Lipschitz Continuity and Hölder Continuity helps Fourier series to converge

fourier-series

Fourier series coefficients in PDEs

partial-differential-equations fourier-series

Roots of a finite Fourier series?

numerical-methods fourier-series roots

Basic Properties Of Fourier Series. 2.

real-analysis functional-analysis fourier-analysis fourier-series

How to evaluate the Fourier Series of $\frac{\sin(\alpha\sin(\omega t))}{\alpha\sin(\omega t)}\exp(-j\beta\sin(\omega t))$?

definite-integrals fourier-series bessel-functions

Fourier Coefficients

integration functional-analysis fourier-series

Why does this Fourier series have a finite number of terms?

calculus trigonometry fourier-series