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On Global Univalence Theorems

✍ Scribed by T. Parthasarathy

Book ID
127406644
Publisher
Springer
Year
1983
Tongue
English
Weight
730 KB
Series
Lecture Notes in Mathematics
Edition
1
Category
Library
ISBN-13
9783540119883

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Ann. 159, 81᎐93 asserts that if the Jacobian matrix of a differentiable function from a closed rectangle K in R n into R n is a P-matrix at each point of K, then f is one-to-one on K. In this paper, by introducing the concepts of H-differentiabil-Ž . ity and H-differential of a function as a set of