New posts in Fourier Analysis

Integration of $\int_0^{\infty}\frac{e^{(\lambda +is)t}-e^{-(\lambda +is)t}}{e^{\pi t}-e^{-\pi t}}dt$

Prove $\int_{-\pi}^\pi F_n(y) \, dy=1$

Derivation of Fourier Transform of a constant signal

Fourier transform of $| t |^n$

Characteristic Function as a Fourier Transform

Is a homogeneous Banach space on $\mathbb T$ always well defined?

Fourier transform of measure on $\mathbb{T}$

Showing that $\int_{-\infty}^{\infty}\frac{x^2}{(x^2+a^2)(x^2+b^2)}dx=\frac{\pi}{a+b}$ via Fourier Transform

Proving that two integrals are proportional to each other (Fourier Analysis)

Solving the PDE $x_{1}\dfrac{\partial f}{\partial x_{1}}+x_{2}\dfrac{\partial f}{\partial x_{2}}=e^{f(x_{1},x_{2})}-\alpha.$