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\begin{frame}
\begin{defi}
The class of symbols $\mathnormal{S^m}$ consist the set of
function $\mathnormal{ P(x,\xi)\in C^\infty(R^N\times R^N)}$  such
that for each compact set $\mathnormal {K\subset R^N}$  and 
all multi-indices
 $\alpha , \beta$ satisfying
$$\mathnormal{|D_x^\beta D_\xi^\alpha P(\xi)| \leq C_{\alpha ,\beta} (\big1+|\xi|)^{m-|\alpha|}}.$$
%where $|\alpha|=\alpha_1+\dots+\alpha_n $ , and $\mathnormal{m\in
\end{defi}
Formula (1) assigns to each symbol $\mathnormal{P(x,\xi)\in S^m}$
a pseudodifferential operator $\mathnormal{ P(x,D)}$ of order
$\mathnormal{m}.$ \newline
\textbf{Example}: The function $\mathnormal{p(\xi)=\sqrt{1+|\xi|^2}}$ is a pseudodifferential
 symbol of order 1. Where $\mathnormal{\big1+|\xi|^2}$ is the
 symbol of $1-\triangle$, and ${\triangle=\partial_{x_1}^2+\ldots +\partial_{x_n}^2}$ is Laplace operator. 
\end{frame}

Thanks in advance for any help

1 Answers1

2

The problem is in the command \big which you are using (twice) without delimiter as argument.

When you want to change the size of delimiters, you can use \bigl \bigr but you must give which delimiter you want. For example:

\bigl( \bigr) \bigl[ \bigr] \bigl\{ \bigr\}

No problem mixing it:

\bigl( \bigr\} \bigl( \bigr] \bigl\{ \bigr]
Sigur
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