List questions from fourier-analysis

Published on 09 Apr 2026 - 2:16

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Which condition ensures that function is identically zero?

Published on 13 Apr 2026 - 4:31

203

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When $\|\mathcal{F}^{-1} (\phi \hat{f})\|_{L^{p}} \leq C \|\hat{f}\|_{L^{p}}$?

Published on 16 Apr 2026 - 18:19

81

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The inverse of the inverse Mellin transform of a function is equal to itself?

Published on 13 Apr 2026 - 12:57

41

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How to prove this equality about series with exponential function?

Published on 11 Apr 2026 - 20:02

173

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Functions which have same even Lp norms have same shape

Published on 14 Apr 2026 - 20:24

251

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An analogue for Fourier transform on the relation between Fourier and Laurent series

Published on 15 Apr 2026 - 2:12

216

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Prove that $\int_0^u\frac{\sin(mt)}{2\sin(t/2)}dt$ is bounded

Published on 16 Apr 2026 - 3:41

63

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Reference request for the relation between smoothness and magnitude of Fourier coefficients

Published on 15 Apr 2026 - 22:54

48

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If $\hat f$ the fourier transform of $f$ does $f(x)$ the fourier transform of $\hat f(-x)$?

Published on 14 Apr 2026 - 22:31

1.1k

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Discrete Fourier Transform: Shift by Fraction of a Sample

Published on 10 Apr 2026 - 17:36

1.5k

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Fourier transform of the distribution generated by Heaviside step function. Where is the mistake?

Published on 10 Apr 2026 - 0:56

273

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Relations between Fractional Sobolev spaces $H^s$ and $H^1$

Published on 14 Apr 2026 - 2:44

597

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Idea for deriving Green's functions - Helmholtz equation

Published on 11 Apr 2026 - 23:59

1.8k

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Fourier series with non-negative coefficients

Published on 09 Apr 2026 - 3:13

List Question

Russian books on Fourier Series

Which condition ensures that function is identically zero?

When $\|\mathcal{F}^{-1} (\phi \hat{f})\|_{L^{p}} \leq C \|\hat{f}\|_{L^{p}}$?

The inverse of the inverse Mellin transform of a function is equal to itself?

How to prove this equality about series with exponential function?

Functions which have same even Lp norms have same shape

An analogue for Fourier transform on the relation between Fourier and Laurent series

Prove that $\int_0^u\frac{\sin(mt)}{2\sin(t/2)}dt$ is bounded

Reference request for the relation between smoothness and magnitude of Fourier coefficients

If $\hat f$ the fourier transform of $f$ does $f(x)$ the fourier transform of $\hat f(-x)$?

Discrete Fourier Transform: Shift by Fraction of a Sample

Fourier transform of the distribution generated by Heaviside step function. Where is the mistake?

Relations between Fractional Sobolev spaces $H^s$ and $H^1$

Idea for deriving Green's functions - Helmholtz equation

Fourier series with non-negative coefficients

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