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The chain rule functional equation on Rn by Hermann König; Vitali Milman is a Mathematics article available to read on EtoBox.
What is The chain rule functional equation on Rn about?
We study operators Assuming a local surjectivity and non-degeneracy condition, we show that for n 2 the operator T is of the form for a suitable p 0 and H ∈ C(R n , GL(n)). For even n there might be an additional factor sgn(det f (x)). This is the multidimensional extension of our results (Artstein-Avidan et al., 2010 [3]) for n = 1. In this setting the non-commutativity of the linear operators L(R n , R n ) from R n to R n creates additional difficulties but also clarifies and enriches the understanding of the problem.
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It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Hermann König; Vitali Milman
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-1236)
- Published
- 2011
- Language
- EN
- Field
- Mathematics (Physical Sciences)