Question

Analytic Form of $\int dx \frac{e^{ - m\sqrt{x^2+b^2}}}{\sqrt{x^2 + b^2}}e^{ikx }$

score 65 · Answer 1 · 2026-04-14 22:22:19

65

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Analytic Form of $\int dx \frac{e^{ - m\sqrt{x^2+b^2}}}{\sqrt{x^2 + b^2}}e^{ikx }$

Published on 14 Apr 2026 - 22:22

score 225 · Answer 2 · 2026-04-11 23:10:23

225

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Proving that the convolution operator on $L^1$ does not have an identity element.

Published on 11 Apr 2026 - 23:10

score 52 · Answer 3 · 2026-04-14 16:37:30

52

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Do Fourier transform on $L^1(\mathbb{R}^n)$ belong to the Schwarz space $\mathcal{S}(\mathbb{R}^n)$?

Published on 14 Apr 2026 - 16:37

score 40 · Answer 4 · 2026-04-16 22:07:55

40

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Weaker condition for $\mathcal{F}(f\cdot g)=(2\pi)^{-n/2}\mathcal{F}(f)*\mathcal{F}(g)$?

Published on 16 Apr 2026 - 22:07

score 38 · Answer 5 · 2026-04-14 00:29:01

38

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Bounding Odd Series

Published on 14 Apr 2026 - 0:29

score 121 · Answer 6 · 2026-04-16 13:46:05

121

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Show that the Fourier series for $f(x) =x$ is given by $S_f(x) = 2(\sum_{k=1}^\infty \frac{\sin(2k-1)x}{2k-1}-\sum_{k=1}^\infty\frac{\sin(2kx)}{2k})$

Published on 16 Apr 2026 - 13:46

score 41 · Answer 7 · 2026-04-13 15:01:40

41

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Condition for real analyticity of multiple Fourier series

Published on 13 Apr 2026 - 15:01

score 36 · Answer 8 · 2026-04-13 14:28:30

36

Views

Does this gradient-adjusting variant of the FFT have a name?

Published on 13 Apr 2026 - 14:28

score 225 · Answer 9 · 2026-04-01 08:30:25

225

Views

Deriving the Oversampling formula

Published on 01 Apr 2026 - 8:30

score 157 · Answer 10 · 2026-04-14 19:27:04

157

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Proof of behavior of Fourier Series at point of discontinuity

Published on 14 Apr 2026 - 19:27

score 42 · Answer 11 · 2026-04-10 21:06:43

42

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Compute a series with a Fourier series

Published on 10 Apr 2026 - 21:06

score 111 · Answer 12 · 2026-04-11 05:32:49

111

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Fourier integral representation of dirac delta function

Published on 11 Apr 2026 - 5:32

score 199 · Answer 13 · 2026-04-15 09:01:43

199

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what is the fourier series for function $f(x) = \cos(x) $ if $-\pi < x < 0$ and f(x) = $0$ if $0 < x < \pi$?

Published on 15 Apr 2026 - 9:01

score 38 · Answer 14 · 2026-04-11 02:08:46

38

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Modern treatments of spectral estimation

Published on 11 Apr 2026 - 2:08

score 82 · Answer 15 · 2026-04-15 09:39:55

82

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To prove the determinants involving trigonometric functions are non-zero

Published on 15 Apr 2026 - 9:39

List Question

Analytic Form of $\int dx \frac{e^{ - m\sqrt{x^2+b^2}}}{\sqrt{x^2 + b^2}}e^{ikx }$

Proving that the convolution operator on $L^1$ does not have an identity element.

Do Fourier transform on $L^1(\mathbb{R}^n)$ belong to the Schwarz space $\mathcal{S}(\mathbb{R}^n)$?

Weaker condition for $\mathcal{F}(f\cdot g)=(2\pi)^{-n/2}\mathcal{F}(f)*\mathcal{F}(g)$?

Bounding Odd Series

Show that the Fourier series for $f(x) =x$ is given by $S_f(x) = 2(\sum_{k=1}^\infty \frac{\sin(2k-1)x}{2k-1}-\sum_{k=1}^\infty\frac{\sin(2kx)}{2k})$

Condition for real analyticity of multiple Fourier series

Does this gradient-adjusting variant of the FFT have a name?

Deriving the Oversampling formula

Proof of behavior of Fourier Series at point of discontinuity

Compute a series with a Fourier series

Fourier integral representation of dirac delta function

what is the fourier series for function $f(x) = \cos(x) $ if $-\pi < x < 0$ and f(x) = $0$ if $0 < x < \pi$?

Modern treatments of spectral estimation

To prove the determinants involving trigonometric functions are non-zero

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