Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals
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Publication:5225819
DOI10.1142/S0129167X19500332zbMath1429.58016arXiv1803.03575OpenAlexW2963823366MaRDI QIDQ5225819
Gihyun Lee, Raphaël Ponge, Hyunsu Ha
Publication date: 29 July 2019
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.03575
Noncommutative topology (46L85) Pseudodifferential and Fourier integral operators on manifolds (58J40) Noncommutative geometry (à la Connes) (58B34)
Related Items (17)
A calculus for magnetic pseudodifferential super operators ⋮ Cwikel estimates and negative eigenvalues of Schrödinger operators on noncommutative tori ⋮ Quantum Euclidean spaces with noncommutative derivatives ⋮ Laplace-Beltrami operators on noncommutative tori ⋮ A noncommutative Tauberian theorem and Weyl asymptotics in noncommutative geometry ⋮ The Ricci curvature for noncommutative three tori ⋮ Spectral metric and Einstein functionals ⋮ A \(C^*\)-algebraic approach to the principal symbol. II ⋮ Functional calculus for elliptic operators on noncommutative tori. I ⋮ Asymptotics of singular values for quantised derivatives on noncommutative tori ⋮ Algebraic Calderón-Zygmund theory ⋮ Connes’s trace theorem for curved noncommutative tori: Application to scalar curvature ⋮ Quantum differentiability on noncommutative Euclidean spaces ⋮ Quantum differentiability on quantum tori ⋮ Pseudodifferential calculus on noncommutative tori, II. Main properties ⋮ 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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