Timeline for Interchanging Integration Order involving Fourier Transform
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 14, 2019 at 7:01 | vote | accept | Hans | ||
| Mar 11, 2019 at 16:25 | answer | added | user131781 | timeline score: 2 | |
| Feb 19, 2019 at 9:36 | comment | added | Hans | @reuns: I am having a bit difficulty applying the Schwartz test functions, say $\varphi(x)$, to derive the interchangeability in the framework of the distribution theory. Can you write a detailed answer formulating and deriving the interchangeability? Thank you. | |
| Feb 19, 2019 at 5:24 | comment | added | reuns | Replace $\lim_{n \to \infty} \int_{-n}^nh(x)dx$ by $\lim_{n \to \infty} \int_{-\infty}^\infty h(x)e^{-x^2/n^2}dx$ to extend $\int$ to a larger class of functions. The theory of distributions gives a setting where the result doesn't depend on how we extended $\int$. | |
| Feb 19, 2019 at 1:45 | review | Close votes | |||
| Feb 23, 2019 at 18:47 | |||||
| Feb 19, 2019 at 1:02 | history | asked | Hans | CC BY-SA 4.0 |