Timeline for Space of Bandlimited Functions
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Nov 21, 2012 at 3:55 | comment | added | Alexandre Eremenko | No, those are not Hilbert spaces, because the $L^2$ limit of functions with bounded support can have unbounded support. And your third set is not even a vector space. | |
| Nov 12, 2012 at 23:16 | vote | accept | Ohad Asor | ||
| Nov 12, 2012 at 22:36 | comment | added | Ohad Asor | Thanks!! I don't know how I forgot about Wiener-Paley. I also didn't know it's engineering terminology, almost all I have is books and internet. Do you recall any other interesting distinguishing property? Essentially, what I'd like to do is to take L_2 and to divide it into 3 subsets: functions with compact support (CS), functions with fourier transform (FT) with CS, functions that neither they nor their FT has CS. I guess requiring those subsets to be Hilbert spaces is too much to ask, not to mention RKHS. | |
| Nov 12, 2012 at 16:00 | history | edited | Alexandre Eremenko | CC BY-SA 3.0 |
added 604 characters in body; added 6 characters in body
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| Nov 12, 2012 at 14:24 | history | answered | Alexandre Eremenko | CC BY-SA 3.0 |