Question

Can anyone suggest a book on Fourier Analysis containing many good problems

score 1.1k · Answer 1 · 2026-04-12 07:11:52

1.1k

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Can anyone suggest a book on Fourier Analysis containing many good problems

Published on 12 Apr 2026 - 7:11

score 993 · Answer 2 · 2026-04-13 09:44:52

993

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Using Riemann-Lebesgue Lemma to show a function is continuous

Published on 13 Apr 2026 - 9:44

score 376 · Answer 3 · 2026-04-15 12:59:32

376

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An analogous definition of Fourier transform $\hat f(u) = \int_{-\infty}^{+\infty} f(t) \exp(- i u t) dt$ for sinc-function.

Published on 15 Apr 2026 - 12:59

score 213 · Answer 4 · 2026-04-12 17:59:28

213

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Frequency scaling property for Fourier series

Published on 12 Apr 2026 - 17:59

score 191 · Answer 5 · 2026-04-28 12:18:25

191

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System of first order ODEs with coherent sinusoidal time varying coefficient

Published on 28 Apr 2026 - 12:18

score 98 · Answer 6 · 2026-04-14 01:03:38

98

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Sign with Fourier transformation, convolution, periodicity

Published on 14 Apr 2026 - 1:03

score 27 · Answer 7 · 2026-04-12 01:18:09

27

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How can I make the mean of samples be approximately equal to the mean of actual continuous signal?

Published on 12 Apr 2026 - 1:18

score 910 · Answer 8 · 2026-04-14 23:30:34

910

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Fourier transform of $\frac{\sin2\pi t-\sin\pi t}{\pi t}$

Published on 14 Apr 2026 - 23:30

score 378 · Answer 9 · 2026-04-12 08:01:39

378

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A Fourier Analysis Question I am stuck at

Published on 12 Apr 2026 - 8:01

score 62 · Answer 10 · 2026-04-14 17:48:48

62

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How to evaluate $\int_{-1/2}^{1/2}e^{2\pi m i x}e^{\frac{2\pi n i}{x}}dx $?

Published on 14 Apr 2026 - 17:48

score 539 · Answer 11 · 2026-04-15 02:34:59

539

Views

Inverse Fourier transform of cut off of Fourier transform

Published on 15 Apr 2026 - 2:34

score 125 · Answer 12 · 2026-04-13 18:58:38

125

Views

periodicity of an exponential sum

Published on 13 Apr 2026 - 18:58

score 145 · Answer 13 · 2026-05-04 09:02:47

145

Views

Prove $\int {\operatorname{sinc}}\big({\tau}-\lambda\big) {\operatorname{sinc}}\big({\tau}-\nu\big)d\tau= {\operatorname{sinc}}(\lambda-\nu ).$

Published on 04 May 2026 - 9:02

score 158 · Answer 14 · 2026-04-14 02:07:26

158

Views

On the weak closedness of a closed ball with fixed $L^2$-norm in a periodic Sobolev space

Published on 14 Apr 2026 - 2:07

score 45 · Answer 15 · 2026-05-06 05:38:05

45

Views

Calderón–Zygmund lemma and Lebesgue measure

Published on 06 May 2026 - 5:38

List Question

Can anyone suggest a book on Fourier Analysis containing many good problems

Using Riemann-Lebesgue Lemma to show a function is continuous

An analogous definition of Fourier transform $\hat f(u) = \int_{-\infty}^{+\infty} f(t) \exp(- i u t) dt$ for sinc-function.

Frequency scaling property for Fourier series

System of first order ODEs with coherent sinusoidal time varying coefficient

Sign with Fourier transformation, convolution, periodicity

How can I make the mean of samples be approximately equal to the mean of actual continuous signal?

Fourier transform of $\frac{\sin2\pi t-\sin\pi t}{\pi t}$

A Fourier Analysis Question I am stuck at

How to evaluate $\int_{-1/2}^{1/2}e^{2\pi m i x}e^{\frac{2\pi n i}{x}}dx $?

Inverse Fourier transform of cut off of Fourier transform

periodicity of an exponential sum

Prove $\int {\operatorname{sinc}}\big({\tau}-\lambda\big) {\operatorname{sinc}}\big({\tau}-\nu\big)d\tau= {\operatorname{sinc}}(\lambda-\nu ).$

On the weak closedness of a closed ball with fixed $L^2$-norm in a periodic Sobolev space

Calderón–Zygmund lemma and Lebesgue measure

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