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Calculating Struck calculating Fourier transform of $f(x)=e^{kx}\; \; x<0$ and $0$ for $x>0$

score 705 · Answer 1 · 2026-03-31 09:28:17

705

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Calculating Struck calculating Fourier transform of $f(x)=e^{kx}\; \; x<0$ and $0$ for $x>0$

Published on 31 Mar 2026 - 9:28

score 89 · Answer 2 · 2026-03-26 01:10:28

89

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a contour integral involving Sign function related to Lerch Zeta function

Published on 26 Mar 2026 - 1:10

score 316 · Answer 3 · 2019-11-17 22:33:25

316

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Fourier Series of $\sin(x)$ on the Interval $(-1,1)$

Published on 17 Nov 2019 - 22:33

score 331 · Answer 4 · 2026-03-31 21:11:45

331

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How are the logarithmic integrals $\int_{-\pi}^{\pi} \ln^n(2\operatorname{cos}(x/2))dx$ related to $\zeta(n)$?

Published on 31 Mar 2026 - 21:11

score 138 · Answer 5 · 2019-11-18 14:27:32

138

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How to show this formula using a Fourier sine series function? $\sum _{k=1}^{\infty }\frac {\left( -1\right) ^{k-1}} {k^2} $

Published on 18 Nov 2019 - 14:27

score 4.3k · Answer 6 · 2019-11-18 23:39:58

4.3k

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Summations from negative to positive infinity

Published on 18 Nov 2019 - 23:39

score 30 · Answer 7 · 2019-11-19 00:06:04

30

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Convergence of the integral of a series of functions

Published on 19 Nov 2019 - 0:06

score 131 · Answer 8 · 2026-03-31 09:24:07

131

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Substantiating Fourier quote about "an arbitrarily capricious graph"

Published on 31 Mar 2026 - 9:24

score 969 · Answer 9 · 2026-03-25 13:32:55

969

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Geometric sum with complex exponent

Published on 25 Mar 2026 - 13:32

score 22 · Answer 10 · 2026-03-25 11:08:42

22

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Joining points in $xy-$plane

Published on 25 Mar 2026 - 11:08

score 73 · Answer 11 · 2019-11-21 00:20:10

73

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Is the span of $\{ \sin n\pi x \}_{n=1}^{\infty}$ dense in $L^2[0,1]$?

Published on 21 Nov 2019 - 0:20

score 275 · Answer 12 · 2026-03-25 14:37:38

275

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How to do Fourier analysis for both temporal and spatial frequencies

Published on 25 Mar 2026 - 14:37

score 55 · Answer 13 · 2026-03-28 11:53:30

55

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A Boundary value problem involving the Laplacian [Help to proceed]

Published on 28 Mar 2026 - 11:53

score 171 · Answer 14 · 2026-03-31 11:58:15

171

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Meaning of the Fourier Transform in $L^2$

Published on 31 Mar 2026 - 11:58

score 48 · Answer 15 · 2019-11-24 07:43:36

48

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Convergence of $\sum_{t=0}^{\infty} t^{\alpha} \cos \omega t$

Published on 24 Nov 2019 - 7:43

List Question

Calculating Struck calculating Fourier transform of $f(x)=e^{kx}\; \; x<0$ and $0$ for $x>0$

a contour integral involving Sign function related to Lerch Zeta function

Fourier Series of $\sin(x)$ on the Interval $(-1,1)$

How are the logarithmic integrals $\int_{-\pi}^{\pi} \ln^n(2\operatorname{cos}(x/2))dx$ related to $\zeta(n)$?

How to show this formula using a Fourier sine series function? $\sum _{k=1}^{\infty }\frac {\left( -1\right) ^{k-1}} {k^2} $

Summations from negative to positive infinity

Convergence of the integral of a series of functions

Substantiating Fourier quote about "an arbitrarily capricious graph"

Geometric sum with complex exponent

Joining points in $xy-$plane

Is the span of $\{ \sin n\pi x \}_{n=1}^{\infty}$ dense in $L^2[0,1]$?

How to do Fourier analysis for both temporal and spatial frequencies

A Boundary value problem involving the Laplacian [Help to proceed]

Meaning of the Fourier Transform in $L^2$

Convergence of $\sum_{t=0}^{\infty} t^{\alpha} \cos \omega t$

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