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Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori (Memoirs of the American Mathematical Society)

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About the Author Xiao Xiong, Wuhan University, China, and Universite de Franche-Comte, Besancon, France.Quanhua Xu, Wuhan University, China, and Universite de Franche-Comte, Besancon, France.Zhi Yin, Wuhan University, China. Product Description This paper gives a systematic study of Sobolev, Besov and Triebel-Lizorkin spaces on a noncommutative $d$-torus $\mathbb{T}^d_\theta$ (with $\theta$ a skew symmetric real $d\times d$-matrix). These spaces share many properties with their classical counterparts. The authors prove, among other basic properties, the lifting theorem for all these spaces and a Poincare type inequality for Sobolev spaces.

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Format: paperback
ASIN: 1470428067
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 30 March 2018
Listed Since: 15 December 2017

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Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori (Memoirs of the American Mathematical Society)

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