Newbetuts

Prove that $|k(x)|\le C|x|^{-n}$ under suitable hypothesis on $k\in\mathcal{C}^1(\Bbb R^n\setminus\{0\})$

What is difference between Fourier Transform and Fast Fourier Transform?

Convolution square root of $\delta $

three line theorem when $M_0 = 0$ or $M_1 = 0$

Lower Bound on Oscillatory Integral

Given a Schwartz function, is it always possible to write it as a product of two Schwartz function?

Slowest decay for Fourier transform of test functions.

What are the differences and relations of Haar integrals, Lebesgue integrals, Riemann integrals?

Rate of divergence for the series $\sum |\sin(n\theta) / n|$

A guess related to Lebesgue differentiation theorem

Hardy–Littlewood-Sobolev inequality without Marcinkiewicz interpolation?

Proving that : $ \left|\int_a^b\frac{\widehat{f}(\xi)}{\xi}d\xi\right|\le 4 \|f\|_1$ for all $a,b$ and all $f$

Decaying Fourier transform and smoothness

Reference request: Fourier and Fourier-Stieltjes algebras

Young's inequality for discrete convolution

Derivation into dense ideal of Banach algebras

Simple proof that Fourier transform is an isomorphism between $L^p$ spaces for $p \neq 2$?

New posts in harmonic-analysis

Suppose $\phi$ is a weak solution of $\Delta \phi = f \in \mathcal{H}^1$. Then $\phi\in W^{2,1}$

What is the Fourier transform of spherical harmonics?

Besov spaces---concrete description of spatial inhomogeneity

Prove that $|k(x)|\le C|x|^{-n}$ under suitable hypothesis on $k\in\mathcal{C}^1(\Bbb R^n\setminus\{0\})$

What is difference between Fourier Transform and Fast Fourier Transform?

Convolution square root of $\delta $

three line theorem when $M_0 = 0$ or $M_1 = 0$

Lower Bound on Oscillatory Integral

Given a Schwartz function, is it always possible to write it as a product of two Schwartz function?

Slowest decay for Fourier transform of test functions.

What are the differences and relations of Haar integrals, Lebesgue integrals, Riemann integrals?

Rate of divergence for the series $\sum |\sin(n\theta) / n|$

A guess related to Lebesgue differentiation theorem

Hardy–Littlewood-Sobolev inequality without Marcinkiewicz interpolation?

Proving that : $ \left|\int_a^b\frac{\widehat{f}(\xi)}{\xi}d\xi\right|\le 4 \|f\|_1$ for all $a,b$ and all $f$

Decaying Fourier transform and smoothness

Reference request: Fourier and Fourier-Stieltjes algebras

Young's inequality for discrete convolution

Derivation into dense ideal of Banach algebras

Simple proof that Fourier transform is an isomorphism between $L^p$ spaces for $p \neq 2$?