Analysis on Real and Complex Manifolds

Language: English

Published by Elsevier Science and Technology, US, 1985

0444877762 / 9780444877765

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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.

Seller Inventory # LU-9780444877765

Title
Analysis on Real and Complex Manifolds
Author
R. Narasimhan
Publisher
Elsevier Science and Technology, US
Publication year
1985
Condition
New
Binding
Hardback
Language
English
ISBN 10
0444877762
ISBN 13
9780444877765
Edition
2nd.
Item weight
700 grams
Dimensions
15.6 x 1.6 x 23.39 cm

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