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Asymptotic Directions, Monge–Ampère Equations and the Geometry of Diffeomorphism Groups

✍ Scribed by Boris Khesin; Gerard Misiołek


Publisher
Springer
Year
2005
Tongue
English
Weight
171 KB
Volume
7
Category
Article
ISSN
1422-6928

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📜 SIMILAR VOLUMES


The Monge–Ampère equation: Various forms
✍ V. Zheligovsky; O. Podvigina; U. Frisch 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 629 KB

We present three novel forms of the Monge-Ampère equation, which is used, e.g., in image processing and in reconstruction of mass transportation in the primordial Universe. The central role in this paper is played by our Fourier integral form, for which we establish positivity and sharp bound proper