Timeline for Almost everywhere-periodic functions with many periods
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 12 at 9:48 | vote | accept | Vassilis Papanicolaou | ||
| Jun 12 at 9:48 | vote | accept | Vassilis Papanicolaou | ||
| Jun 12 at 9:48 | |||||
| Jun 9 at 2:25 | comment | added | Iosif Pinelis | @GregMartin : In this case, $f$ may not be Riemann integrable. So, unfortunately, I still don't see how the definition for $x<0$ can be avoided. | |
| Jun 7 at 17:29 | comment | added | Greg Martin | For Riemann integrals the definition is identical (it just happens that $\Delta x < 0$ in the Riemann sums). Lebesgue integrals are typically taken over sets rather than oriented sets. | |
| Jun 7 at 12:52 | comment | added | Iosif Pinelis | @GregMartin : Thank you for your comment. How is it well defined, if not as in this answer? | |
| Jun 7 at 7:40 | comment | added | Greg Martin | Nice argument; note that there's no need for the second definition of $F(x)$ since $\int_0^x f(t)\,dt$ is still well defined when $x<0$. | |
| Jun 6 at 17:00 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Jun 6 at 15:05 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Jun 6 at 14:53 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |