Commit 620827c7 authored by Jannes Bantje's avatar Jannes Bantje

change index entries

parent f53b617b
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......@@ -232,8 +232,8 @@ The symbol gives raise to an extremly important class of differential operators:
\begin{definition}\label{def:elliptic}
Let $D \in \DiffOp^k(E_0,E_1)$ and $x \in M$.
Then we say, that $D$ is \Index{elliptic at} $x$ if for each $\xi \in \Tang_x^* M$, $\xi \neq 0$ the homomorphism $\sigma_k(D)(\xi) \colon (E_0)_x \to (E_1)_x$ is invertible.
$D$ is \Index{elliptic}, if it is elliptic at each point $x \in M$.
Then we say, that $D$ is \bet{elliptic at} $x$ if for each $\xi \in \Tang_x^* M$, $\xi \neq 0$ the homomorphism $\sigma_k(D)(\xi) \colon (E_0)_x \to (E_1)_x$ is invertible.
$D$ is \Index[differential operator!elliptic]{elliptic}\index{elliptic operator}, if it is elliptic at each point $x \in M$.
\end{definition}
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