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Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori

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 propertie...

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Detalles Bibliográficos
Autores principales: Xiong, Xiao, Xu, Quanhua, Yin, Zhi
Lenguaje:eng
Publicado: American Mathematical Society 2018
Materias:
Acceso en línea:http://cds.cern.ch/record/2623211