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Results tagged with micro-local-analysis
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user 17896
4
votes
1
answer
228
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Real-analytic variant of theorem 4.2.5 of Duistermaat's "FIO", 1996
Theorem 4.2.5 of Duistermaat's "Fourier Integral Operators", 1996, states:
Let $A \in I^m(X,Y,C)$ be an elliptic Fourier Integral Operator of order $m$, associated to a bijective canonical homogen …
- 1,329
2
votes
1
answer
236
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Support-preserving pseudodifferential operators
Let $A = F^{-1}\sigma F$ be a pseudodifferential operator acting on functions on $\mathbb R^n$, where $F$, $F^{-1}$ are the direct and inverse Fourier transforms respectively and $\sigma$ is the symbo …
- 1,329
1
vote
1
answer
196
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Estimate the analytical wavefront set $WF_A(u)$ given $WF_A(A_K u)$
Let $X$ and $Y$ be two real-analytic manifolds and $Z \subset X \times Y$ be a real-analytic embedded closed submanifold. Suppose now that $K \in \mathscr D'(X \times Y)$ is a distribution conormal to …
- 1,329