aboutsummaryrefslogtreecommitdiffstats
path: root/buch/papers/kugel/preliminaries.tex
diff options
context:
space:
mode:
authorNicolas Tobler <nicolas.tobler@ost.ch>2022-08-28 13:57:03 +0200
committerNicolas Tobler <nicolas.tobler@ost.ch>2022-08-28 13:57:03 +0200
commit40b27a143e0937d1e57948771563fcde341d7902 (patch)
tree5e875c1bb77a3d2fe89b17e92ff8c1c8e4ce9597 /buch/papers/kugel/preliminaries.tex
parentMerge branch 'master' of https://github.com/AndreasFMueller/SeminarSpezielleF... (diff)
parentMerge pull request #73 from canuelmattaneo/master (diff)
downloadSeminarSpezielleFunktionen-40b27a143e0937d1e57948771563fcde341d7902.tar.gz
SeminarSpezielleFunktionen-40b27a143e0937d1e57948771563fcde341d7902.zip
Merge branch 'master' of https://github.com/AndreasFMueller/SeminarSpezielleFunktionen
Diffstat (limited to '')
-rw-r--r--buch/papers/kugel/preliminaries.tex7
1 files changed, 4 insertions, 3 deletions
diff --git a/buch/papers/kugel/preliminaries.tex b/buch/papers/kugel/preliminaries.tex
index e48abe4..1fa78d7 100644
--- a/buch/papers/kugel/preliminaries.tex
+++ b/buch/papers/kugel/preliminaries.tex
@@ -1,6 +1,6 @@
% vim:ts=2 sw=2 et spell tw=78:
-\section{Preliminaries}
+\section{Preliminaries}\label{kugel:sec:preliminaries}
The purpose of this section is to dust off some concepts that will become
important later on. This will enable us to be able to get a richer and more
@@ -318,11 +318,12 @@ convergence.
\end{definition}
\begin{theorem}[Fourier Theorem]
- \[
+ \label{fourier-theorem-1D}
+ \begin{equation*}
\lim_{N \to \infty} \left \|
f(x) - \sum_{n = -N}^N \hat{f}(n) E_n(x)
\right \|_2 = 0
- \]
+ \end{equation*}
\end{theorem}
\begin{lemma}