List questions from fourier-analysis

Published on 15 Apr 2026 - 11:40

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interpolation of Fourier decoupling

Published on 14 Apr 2026 - 19:30

107

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Definition of Singular Integrals Operators

Published on 01 Apr 2026 - 17:42

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What is the Fourier transform of functions of the type $p(x)e^{-x^2}$ $(p \in \mathbb{C}[x])$?

Published on 15 Apr 2026 - 16:42

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Existence of bump functions with certain bound on Fourier transform of derivatives

Published on 11 Apr 2026 - 15:29

70

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Need help with Fourier transforms. Is the following true?

Published on 16 Apr 2026 - 7:53

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Compute explicitly this oscillatory integral

Published on 09 Apr 2026 - 5:49

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Fourier transform with different measure

Published on 09 Apr 2026 - 0:02

425

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Finding Components Using the Inner Product: Complex conjugate of $\sin(x)$

Published on 12 Apr 2026 - 5:34

81

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Sines Fourier series

Published on 13 Apr 2026 - 10:06

119

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Find $0$-th Fourier series coefficient of the $3\pi$ periodic function $h(t)$. What went wrong?

Published on 13 Apr 2026 - 5:09

403

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Asymptotic behaviour of fourier transform of exponential of a polynomial

Published on 09 Apr 2026 - 22:46

56

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Does there exists a non-zero smooth function on Torus, vanishing on an open set such that all its Fourier coefficients are non-zero?

Published on 13 Apr 2026 - 7:54

45

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Discrete fourier transform in different forms

Published on 14 Apr 2026 - 4:15

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Proving: $x = a_0 + \sum_{n=1}^{\infty}(a_n \cos nx + b_n \sin nx)$

Published on 16 Apr 2026 - 12:27

List Question

Fourier transform of $\sqrt{f(t)}$

interpolation of Fourier decoupling

Definition of Singular Integrals Operators

What is the Fourier transform of functions of the type $p(x)e^{-x^2}$ $(p \in \mathbb{C}[x])$?

Existence of bump functions with certain bound on Fourier transform of derivatives

Need help with Fourier transforms. Is the following true?

Compute explicitly this oscillatory integral

Fourier transform with different measure

Finding Components Using the Inner Product: Complex conjugate of $\sin(x)$

Sines Fourier series

Find $0$-th Fourier series coefficient of the $3\pi$ periodic function $h(t)$. What went wrong?

Asymptotic behaviour of fourier transform of exponential of a polynomial

Does there exists a non-zero smooth function on Torus, vanishing on an open set such that all its Fourier coefficients are non-zero?

Discrete fourier transform in different forms

Proving: $x = a_0 + \sum_{n=1}^{\infty}(a_n \cos nx + b_n \sin nx)$

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