Functional calculus for elliptic operators on noncommutative tori. I
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Publication:2193916
DOI10.1007/s11868-020-00337-zzbMath1455.58010arXiv1911.05500OpenAlexW3024312789MaRDI QIDQ2193916
Publication date: 25 August 2020
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.05500
Pseudodifferential operators as generalizations of partial differential operators (35S05) Noncommutative topology (46L85) Pseudodifferential and Fourier integral operators on manifolds (58J40) Noncommutative global analysis, noncommutative residues (58J42) Pseudodifferential operators (47G30)
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A noncommutative Tauberian theorem and Weyl asymptotics in noncommutative geometry, Connes’s trace theorem for curved noncommutative tori: Application to scalar curvature, Noncommutative residue and canonical trace on noncommutative tori. Uniqueness results, Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori
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