List questions from fourier-analysis

Published on 27 Mar 2026 - 7:12

80

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What is the rate of convergence of $f^N(x) = \sum_{n=-N}^N f_n e^{in x}$ to $f(x) = \sum_{n=-\infty}^\infty f_n e^{in x}$ in $L^2([0,2\pi])$?

Published on 25 Mar 2026 - 17:44

58

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Sign of exponential in Fourier Coefficient

Published on 26 Mar 2026 - 12:57

118

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Fourier transform of surface measure, did I get it right?

Published on 25 Mar 2026 - 6:10

183

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$L^\infty (\Bbb R^n)$ bound for an inverse Fourier transform.

Published on 29 Mar 2026 - 17:26

69

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Discrete Fourier Transform factorisation

Published on 05 Jun 2018 - 8:46

82

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Solving equation related to fourier integral

Published on 05 Jun 2018 - 15:24

3.7k

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Can someone clearly explain the discrete Fourier transform (DFT)?

Published on 26 Mar 2026 - 12:34

1.8k

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Complex Fourier Series Coefficients

Published on 26 Mar 2026 - 12:52

2.1k

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How to choose between real and complex coefficients of Fourier series?

Published on 26 Mar 2026 - 13:01

661

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Fourier series and coefficients c1

Published on 26 Mar 2026 - 11:16

136

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Embedding property of homogeneous periodic Besov spaces

Published on 25 Mar 2026 - 10:38

77

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Continuity of evaluation map for characters of a LCA group

Published on 29 Mar 2026 - 15:59

85

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How to derive this integral identity?

Published on 08 Jun 2018 - 19:53

45

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Does $f$ periodic and continuous over $\Bbb R$ not imply that it is $L^p(0,T)\ \forall p\in[1,\infty]$ and the Fourier series converges a.e.?

Published on 25 Mar 2026 - 21:51

List Question

Proving a Fourier Polynomial Relation

What is the rate of convergence of $f^N(x) = \sum_{n=-N}^N f_n e^{in x}$ to $f(x) = \sum_{n=-\infty}^\infty f_n e^{in x}$ in $L^2([0,2\pi])$?

Sign of exponential in Fourier Coefficient

Fourier transform of surface measure, did I get it right?

$L^\infty (\Bbb R^n)$ bound for an inverse Fourier transform.

Discrete Fourier Transform factorisation

Solving equation related to fourier integral

Can someone clearly explain the discrete Fourier transform (DFT)?

Complex Fourier Series Coefficients

How to choose between real and complex coefficients of Fourier series?

Fourier series and coefficients c1

Embedding property of homogeneous periodic Besov spaces

Continuity of evaluation map for characters of a LCA group

How to derive this integral identity?

Does $f$ periodic and continuous over $\Bbb R$ not imply that it is $L^p(0,T)\ \forall p\in[1,\infty]$ and the Fourier series converges a.e.?

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