Timeline for Fourier transform on lattice strip
Current License: CC BY-SA 4.0
9 events
when toggle format | what | by | license | comment | |
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Sep 19, 2021 at 16:44 | vote | accept | spaceman | ||
Sep 15, 2021 at 21:09 | answer | added | Mateusz Kwaśnicki | timeline score: 2 | |
Sep 15, 2021 at 13:27 | history | edited | YCor |
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Sep 15, 2021 at 13:24 | comment | added | spaceman | @MateuszKwaśnicki I have edited the question given your comment. | |
Sep 15, 2021 at 13:23 | history | edited | spaceman | CC BY-SA 4.0 |
added 402 characters in body
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Sep 15, 2021 at 13:06 | comment | added | spaceman | @MateuszKwaśnicki Ah yes, I missed that out. I suspect then $L_N$ is a quotient of $L$ and not a subgroup at all. I wish to identify $(N+1+k)a_2$ with $ka_2$. I am essentially repeating the lattice strips vertically. In which case, I suspect that I cannot use the characters of $L$ to obtain the characters of $L_N$. | |
Sep 14, 2021 at 19:36 | comment | added | Mateusz Kwaśnicki | Maybe I misunderstood something: as stated, $L_N$ is not a subgroup of $L$. For example, $a_2, N a_2 \in L_N$, but $a_2 + N a_2 \notin L_N$. One can identify $L_N$ with a factor of $L$ (a homomorphic image of $L$) in a number of ways (essentially by identifying $(N+1) a_2$ with $k a_1$ for an arbitrary $k \in \mathbb Z$), and each of these will correspond to some Pontryagin dual, but I am not sure if this is what you meant. | |
Sep 13, 2021 at 19:17 | history | edited | spaceman | CC BY-SA 4.0 |
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Sep 13, 2021 at 12:31 | history | asked | spaceman | CC BY-SA 4.0 |