Question

Bound on trigonometric polynomials in terms of derivative

score 434 · Answer 1 · 2026-03-25 19:03:29

434

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Bound on trigonometric polynomials in terms of derivative

Published on 25 Mar 2026 - 19:03

score 126 · Answer 2 · 2026-03-25 14:25:31

126

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Show that if $f\in L^1(\mathbb{R})$ and $g\in S(\mathbb{R})$. then $f*g\in C(\mathbb{R})$

Published on 25 Mar 2026 - 14:25

score 91 · Answer 3 · 2026-03-25 14:23:30

91

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Give an example to show that not all smooth rapidly decreasing functions are Schwartz fiunctions.

Published on 25 Mar 2026 - 14:23

score 789 · Answer 4 · 2018-04-02 22:16:57

789

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Find the complex Fourier series of the $2\pi$ periodic function $f(x)=x^2$ and determine the function which the Fourier series converges to.

Published on 02 Apr 2018 - 22:16

score 60 · Answer 5 · 2018-04-03 15:27:36

60

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Find the exact number of times $f(x)=\displaystyle\sum_{n\neq 0}\frac{1}{n^{4.01}}e^{inx}$ is continuously differentiable.

Published on 03 Apr 2018 - 15:27

score 1.7k · Answer 6 · 2018-04-04 13:17:29

1.7k

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Haar measure on orthogonal group

Published on 04 Apr 2018 - 13:17

score 42 · Answer 7 · 2026-03-26 21:08:58

42

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Sovling classical parabolic equation by using Littlewood-Paley theory

Published on 26 Mar 2026 - 21:08

score 58 · Answer 8 · 2026-03-26 04:33:15

58

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For $f\in L^{\infty}(\mathbb R^n\ltimes SO(n))$ I do not understand this equality?

Published on 26 Mar 2026 - 4:33

score 210 · Answer 9 · 2018-04-08 22:16:41

210

Views

Divergence theorem for fractional Laplacian operator

Published on 08 Apr 2018 - 22:16

score 7.6k · Answer 10 · 2026-03-25 20:41:51

7.6k

Views

Why do we use trig functions in Fourier transforms, and not other periodic functions?

Published on 25 Mar 2026 - 20:41

score 76 · Answer 11 · 2018-04-14 17:11:56

76

Views

How to bound oscillatory integral?

Published on 14 Apr 2018 - 17:11

score 125 · Answer 12 · 2018-04-15 20:15:40

125

Views

Showing $|x|^\alpha$ is an $A_p$ weight for $-d<\alpha<d(p-1)$

Published on 15 Apr 2018 - 20:15

score 206 · Answer 13 · 2018-04-18 06:31:58

206

Views

Understanding kernel of Riesz transforms $K(r,\zeta)=r^{-2}\Omega(\zeta)$

Published on 18 Apr 2018 - 6:31

score 73 · Answer 14 · 2018-04-18 08:31:12

73

Views

Closedness of Bessel vector space

Published on 18 Apr 2018 - 8:31

score 303 · Answer 15 · 2026-03-22 20:13:17

303

Views

Inequality of p-norm for Hardy-Littlewood maximum function

Published on 22 Mar 2026 - 20:13

List Question

Bound on trigonometric polynomials in terms of derivative

Show that if $f\in L^1(\mathbb{R})$ and $g\in S(\mathbb{R})$. then $f*g\in C(\mathbb{R})$

Give an example to show that not all smooth rapidly decreasing functions are Schwartz fiunctions.

Find the complex Fourier series of the $2\pi$ periodic function $f(x)=x^2$ and determine the function which the Fourier series converges to.

Find the exact number of times $f(x)=\displaystyle\sum_{n\neq 0}\frac{1}{n^{4.01}}e^{inx}$ is continuously differentiable.

Haar measure on orthogonal group

Sovling classical parabolic equation by using Littlewood-Paley theory

For $f\in L^{\infty}(\mathbb R^n\ltimes SO(n))$ I do not understand this equality?

Divergence theorem for fractional Laplacian operator

Why do we use trig functions in Fourier transforms, and not other periodic functions?

How to bound oscillatory integral?

Showing $|x|^\alpha$ is an $A_p$ weight for $-d<\alpha<d(p-1)$

Understanding kernel of Riesz transforms $K(r,\zeta)=r^{-2}\Omega(\zeta)$

Closedness of Bessel vector space

Inequality of p-norm for Hardy-Littlewood maximum function

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