Unique determination of local $CR$-maps by their jets: a survey
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 13 (2002) no. 3-4, pp. 295-305.

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We survey results on unique determination of local $CR$-automorphisms of smooth $CR$-manifolds and of local biholomorphisms of real-analytic $CR$-submanifolds of complex spaces by their jets of finite order at a given point. Examples generalizing [28] are given showing that the required jet order may be arbitrarily high. 
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     title = {Unique determination of local $CR$-maps by their jets: a survey},
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Dmitri, Zaitsev. Unique determination of local $CR$-maps by their jets: a survey. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 13 (2002) no. 3-4, pp. 295-305. https://geodesic-test.mathdoc.fr/item/AANLMA_2002_9_13_3-4_a10/