Timeline for Growth rate of Lipschitz constants for derivatives of $C^\infty$ functions
Current License: CC BY-SA 3.0
6 events
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Oct 7, 2017 at 2:44 | comment | added | Christian Remling | @YairCarmon: Because $\widehat{f^{(p)}(t)}=(2\pi it)^p\widehat{f(t)}$, so $f^{(p)}(x) = \int (2\pi i t)^p \widehat{f(t)} e^{2\pi i tx}\, dt$. | |
Oct 7, 2017 at 2:23 | vote | accept | Yair Carmon | ||
Oct 7, 2017 at 2:20 | comment | added | Yair Carmon | Thanks! Can you provide a reference/explanation for the inequality $B_p \le C^p \| t^p \widehat{f} \|_{L_1}$? | |
Oct 7, 2017 at 1:23 | history | edited | Christian Remling | CC BY-SA 3.0 |
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Oct 7, 2017 at 1:17 | history | edited | Christian Remling | CC BY-SA 3.0 |
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Oct 7, 2017 at 1:09 | history | answered | Christian Remling | CC BY-SA 3.0 |