Téléchargez le livre : Analysis on Real and Complex Manifolds

Analysis on Real and Complex Manifolds



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Éditeur :

North Holland


Paru le : 1985-12-01



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Description
Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem, Sard's theorem and Whitney's approximation theorem. The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincaré and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality theorem. Chapter 3 includes characterizations of linear differentiable operators, due to Peetre and Hormander. The inequalities of Garding and of Friedrichs on elliptic operators are proved and are used to prove the regularity of weak solutions of elliptic equations. The chapter ends with the approximation theorem of Malgrange-Lax and its application to the proof of the Runge theorem on open Riemann surfaces due to Behnke and Stein.
Pages
245 pages
Collection
n.c
Parution
1985-12-01
Marque
North Holland
EAN papier
9780444877765
EAN PDF SANS DRM
9780080960227
Informations sur l'ebook
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Prix
57,97 €

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