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(Ebook) Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori by Xiao Xiong; Quanhua Xu; Zhi Yin ISBN 9781470443757, 1470443759

  • SKU: EBN-51629908
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4.7

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Instant download (eBook) Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori after payment.
Authors:Xiao Xiong; Quanhua Xu; Zhi Yin
Pages:130 pages.
Year:2018
Editon:1
Publisher:American Mathematical Society
Language:english
File Size:1.13 MB
Format:pdf
ISBNS:9781470443757, 1470443759
Categories: Ebooks

Product desciption

(Ebook) Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori by Xiao Xiong; Quanhua Xu; Zhi Yin ISBN 9781470443757, 1470443759

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 Poincar� type inequality for Sobolev spaces.
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