Fixed some numbering problems.

This commit is contained in:
Bokuan Li
2026-06-04 13:41:05 -04:00
parent ebead6c022
commit 13a0e07b72
2 changed files with 8 additions and 8 deletions

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@@ -77,11 +77,11 @@
\label{proposition:convolution-integer-spectrum}
Let $\ell^1(\integer)$ be the convolution algebra on $\integer$ and $f \in \ell^1(\integer)$, then
\[
\sigma(f) = \bracs{\sum_{n \in \integer}f(n)z^n \bigg | z \in \partial B_\complex(0, 1)}
\sigma_{\ell^1(\integer)}(f) = \bracs{\sum_{n \in \integer}f(n)z^n \bigg | z \in \partial B_\complex(0, 1)}
\]
\end{proposition}
\begin{proof}
By \autoref{theorem:convolution-integer-gelfand} and (4) of \autoref{proposition:gelfand-transform-gymnastics}.
By \autoref{theorem:convolution-integer-gelfand} and (3) of \autoref{proposition:gelfand-transform-gymnastics}.
\end{proof}