List questions from integral-transforms

Published on 26 Mar 2026 - 6:12

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Inverse Laplace transform of $\log(s)$

Published on 02 Sep 2017 - 9:34

315

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How exactly does the Laplace transform map something to the frequency domain?

Published on 04 Sep 2017 - 15:49

600

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The inverse Laplace transform of $e^{-z}\textrm{Ei}(z)z^{-1}\log(z).$

Published on 04 Sep 2017 - 17:29

40

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Two formula with proof needed for the integral transform

Published on 11 Sep 2017 - 3:19

91

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Nature of kernels

Published on 25 Mar 2026 - 15:28

170

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On the integral $\frac{1}{2\pi i}\int_{c-iT}^{c+iT}\frac{\Gamma\left(w\right)}{\Gamma\left(w+\alpha\right)}dw$

Published on 26 Mar 2026 - 0:53

172

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Invertibility of Integral Transform

Published on 26 Mar 2026 - 6:03

117

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Evaluate $\int_0^\infty \frac{\sin s\cos s} s \,ds$ using $\int_0^\infty\frac{\sin s} s \, ds=\frac \pi 2$

Published on 14 Oct 2017 - 22:57

328

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Does Bernstein's theorem on monotone functions hold in an interval?

Published on 28 Oct 2017 - 9:51

390

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Inverse Z-Transform of $(1+2/z)^{-3}$

Published on 27 Mar 2026 - 10:24

247

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A pair of composed integral transforms from Mellin and Laplace transforms

Published on 02 Nov 2017 - 17:24

196

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Hilbert transform of $L^{2} (- \pi, \pi)$ functions

Published on 03 Nov 2017 - 20:44

54

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Reference Request: Transform Theory as Homomorphisms between Banach Algebras and their Duals

Published on 09 Nov 2017 - 4:54

80

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Expressing a transformation of series in terms of integral

Published on 10 Nov 2017 - 14:53

List Question

Mellin transform of $f(1-x)$

Inverse Laplace transform of $\log(s)$

How exactly does the Laplace transform map something to the frequency domain?

The inverse Laplace transform of $e^{-z}\textrm{Ei}(z)z^{-1}\log(z).$

Two formula with proof needed for the integral transform

Nature of kernels

On the integral $\frac{1}{2\pi i}\int_{c-iT}^{c+iT}\frac{\Gamma\left(w\right)}{\Gamma\left(w+\alpha\right)}dw$

Invertibility of Integral Transform

Evaluate $\int_0^\infty \frac{\sin s\cos s} s \,ds$ using $\int_0^\infty\frac{\sin s} s \, ds=\frac \pi 2$

Does Bernstein's theorem on monotone functions hold in an interval?

Inverse Z-Transform of $(1+2/z)^{-3}$

A pair of composed integral transforms from Mellin and Laplace transforms

Hilbert transform of $L^{2} (- \pi, \pi)$ functions

Reference Request: Transform Theory as Homomorphisms between Banach Algebras and their Duals

Expressing a transformation of series in terms of integral

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