New posts in fourier-series

Why $\sin(n\pi) = 0$ and $\cos(n\pi)=(-1)^n$?

trigonometry fourier-series

Solution to a Sturm–Liouville problem

fourier-series heat-equation sturm-liouville

Obtaining a series that converges to $\frac{\pi}{2\sqrt{2}}$ using Fourier series.

real-analysis sequences-and-series fourier-series

Riemann Lebesgue Lemma Clarification

fourier-analysis fourier-series

Absolute convergence of fourier series

fourier-analysis fourier-series

Why does this identity hold for Fejér Kernels?

fourier-analysis fourier-series fejer-kernel

Calculate $\sum_{k=1}^{\infty}\frac{|\sin(k x)|}{1+k^2}$

fourier-series harmonic-numbers

Finding smooth behaviour of infinite sum

sequences-and-series summation taylor-expansion fourier-series electromagnetism

What is the Fourier transform of spherical harmonics?

fourier-analysis fourier-series harmonic-analysis harmonic-functions spherical-harmonics

Properties of $L^1([0,1]) \to \ell^\infty(\mathbb Z)$

real-analysis fourier-analysis lebesgue-integral fourier-series lp-spaces

Compare Fourier and Laplace transform

fourier-analysis fourier-series laplace-transform

How can you approach $\int_0^{\pi/2} x\frac{\ln(\cos x)}{\sin x}dx$

real-analysis integration fourier-series polylogarithm

Undefined Terms Within Series Solution For Heat Equation Solution

sequences-and-series ordinary-differential-equations partial-differential-equations fourier-series heat-equation

Identifying the product of two Fourier series with a third?

fourier-series

Series of $\csc(x)$ or $(\sin(x))^{-1}$

trigonometry fourier-analysis fourier-series signal-processing

Parseval's Identity (Integral)

integration sequences-and-series definite-integrals fourier-series solution-verification

$ \sum_{n = 1}^{\infty} \frac{1}{n^4}$?

real-analysis fourier-series

Find the Fourier transform of $\frac1{1+t^2}$

integration fourier-analysis fourier-series

Why do choirs work?

fourier-series expected-value

Prove $\left|\sum\limits_{k=2001}^{m}a_{k}\sin{(kx)}\right|\le 1+\pi $ ,$m\ge 2001,x\in R$

real-analysis trigonometry inequality fourier-series contest-math