Timeline for Functional equation with Fourier transform and $\frac{1}{x} f(\frac{1}{x}) $
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| S Feb 5, 2022 at 3:26 | history | suggested | Buzz | CC BY-SA 4.0 |
fixed bracketing
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| Feb 4, 2022 at 20:36 | review | Suggested edits | |||
| S Feb 5, 2022 at 3:26 | |||||
| Feb 4, 2022 at 13:10 | history | edited | Bertrand | CC BY-SA 4.0 |
deleted 15 characters in body
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| Feb 4, 2022 at 12:49 | comment | added | Bertrand | Yes, you are right, in the sense of distribution, there is a Mellin transform for $X^{\alpha}$. I am not very familiar with distribution and considered only basic definition of Mellin transform. Indeed, considering your remark we can conclude, I will modify my answer. | |
| Feb 3, 2022 at 22:02 | comment | added | Steven Clark | I'm not sure I understand your answer as $\mathcal{M}_t\left[t^a\right](s)=2 \pi \delta (i (a+s))$ (see wolframalpha.com/input?i=MellinTransform%5Bt%5Ea%2C+t%2C+s%5D). For a derivation of this result see the last part of the answer I posted at mathoverflow.net/q/294849. | |
| Feb 3, 2022 at 13:21 | history | edited | Bertrand | CC BY-SA 4.0 |
added 11 characters in body
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| Feb 3, 2022 at 13:03 | history | answered | Bertrand | CC BY-SA 4.0 |