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| author | canuel <cattaneo.manuel@hotmail.com> | 2022-08-26 16:59:18 +0200 |
|---|---|---|
| committer | canuel <cattaneo.manuel@hotmail.com> | 2022-08-26 16:59:18 +0200 |
| commit | f07871bd3ce9cfc41ecfc29b66c07d4377b8f9a7 (patch) | |
| tree | 052c0d3175015916a722baf34952a4758ea88a32 /buch/papers/kugel/preliminaries.tex | |
| parent | subsection about recursion equations spherical harmonics + associated Legendr... (diff) | |
| download | SeminarSpezielleFunktionen-f07871bd3ce9cfc41ecfc29b66c07d4377b8f9a7.tar.gz SeminarSpezielleFunktionen-f07871bd3ce9cfc41ecfc29b66c07d4377b8f9a7.zip | |
added the chapter about spherical harmonic expansion and corrected some errors
Diffstat (limited to 'buch/papers/kugel/preliminaries.tex')
| -rw-r--r-- | buch/papers/kugel/preliminaries.tex | 7 |
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} |