Timeline for Lower bound for the eigenvalue
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Aug 16, 2012 at 14:54 | comment | added | fedja | 1) Since only the part of $\psi$ on $[-1,1]$ matters, the answer is "Yes, of course: it is exactly the same spectrum". 2) a) Probably, but I don't know a reference. b) I just followed some ideas in Havin-Joricke book "The Uncertainty Principle in Harmonic Analysis". | |
| Aug 14, 2012 at 13:13 | comment | added | David | @fedja: Is the result in your post asserted anywhere? What motivated the interesting proof attempted? Thank you. | |
| Aug 14, 2012 at 2:11 | comment | added | David | @fedja: If one defined the operator $F_c$ on $L_2[-1, 1]$, would the same procedure works? | |
| Jun 20, 2012 at 10:16 | comment | added | fedja | Look at Turan's "New method in Analysis and its applications". He's considering the $L^\infty$ norm there but the passage to the $L^2$ one is not hard (in the proof, not in the statement). | |
| Jun 17, 2012 at 3:46 | comment | added | David | @ fedja: Thank you very much for your answer. Could you please provide the exact refernce for the estimating of a trigonometric polynomial in $L_2$. I've been looking through some papers by Bervstein, Remez and Turan, but I did not find anything like that. I am not familliar with the subject, so maybe I am looking for the wrong things... Thank you in advance. | |
| Jun 5, 2012 at 22:41 | comment | added | David | @fedja: Thank you very much for your explanations. Could you please give me some reference where the similar techniques used. I woul like to study it more. Thank you. | |
| Jun 1, 2012 at 23:34 | vote | accept | David | ||
| Jun 1, 2012 at 22:26 | history | answered | fedja | CC BY-SA 3.0 |