Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori - Memoirs of the American Mathematical Society - Xiao Xiong - Books - American Mathematical Society - 9781470428068 - April 30, 2018
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Xiao Xiong
Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori - Memoirs of the American Mathematical Society

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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.

116 pages

Media Books     Paperback Book   (Book with soft cover and glued back)
Released April 30, 2018
ISBN13 9781470428068
Publishers American Mathematical Society
Pages 116
Dimensions 150 × 220 × 10 mm   ·   240 g

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