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Results tagged with adeles
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user 15629
1
vote
Definition of cusp form in $L^2$ and convergence over $N_{\mathbb Q} \backslash N_{\mathbb A}$
You are entirely correct that there are several analytical issues with a naive presentation of this... although the naive presentation does present the intention, which is the most important thing.
So …
- 23k
6
votes
Categorical description of the restricted product (Adeles)
Also, as Mrc Plm's answer, quite literally the adeles are a colimit of products. … I find it an interesting rhetorical question "Do adeles occur in nature?", as opposed to "can we construct/axiomatize" them, or "are they useful?" …
- 23k
7
votes
Accepted
Definition of unitary representation of $\mathbf G(\mathbb A_k)$
It is absolutely essential that the space of (bounded/continuous) operators be given the "strong" operator topology (strictly weaker than the norm topology), and the map $G\times V\to V$ to be jointly …
- 23k