On the convenient setting for real analytic mappings
✍ Scribed by Josef Mattes
- Publisher
- Springer Vienna
- Year
- 1993
- Tongue
- English
- Weight
- 645 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0026-9255
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📜 SIMILAR VOLUMES
It is shown that if the real-analytic map f(x) : Ill2 + BP2 has a Jacobian matrix whose eigenvaluee are always both one, then the map ls a diffeemorphism. An explicit form of the inverse ls given. The proof relies on a result which says that the only global solutions to the quasi-linear partial diff
It follows trivially from old results of Majda and Lax Phillips that connected obstacles K with real analytic boundary in R n are uniquely determined by their scattering length spectrum. In this paper we prove a similar result in the general case (i.e. K may be disconnected) imposing some non-degene
## DEDICATED TO LUIGI SALVADORI ON THE OCCASION OF HIS 70TH BIRTHDAY Consider a mapping f : ރ n ª ރ n of the form identity plus a term with polynomial components that are homogeneous of the third degree, and suppose that the n Ž Jacobian determinant of this mapping is constant throughout ރ p