Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals (Q5225819)

scientific article; zbMATH DE number 7086631

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English	Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals	scientific article; zbMATH DE number 7086631

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instance of

scholarly article

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title

Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals (English)

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zbMATH Open document ID

1429.58016

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DOI

10.1142/S0129167X19500332

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International Journal of Mathematics

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publication date

29 July 2019

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full work available at URL

https://arxiv.org/abs/1803.03575

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Mathematics Subject Classification ID

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noncommutative tori

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pseudodifferential operators

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MaRDI profile type

MaRDI publication profile

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The noncommutative geometry of the quantum Hall effect

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Magnetic twisted actions on general abelian $C^*$-algebras

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The Ricci flow on noncommutative two-tori

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Principe d'Oka, K-théorie et systèmes dynamiques non commutatifs. (Oka's principle, K-theory and noncommutative dynamical systems)

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A non-commutative framework for topological insulators

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Q3871430

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An analogue of the Thom isomorphism for crossed products of a C* algebra by an action of R

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Q3312950

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Q4310044

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Noncommutative geometry and matrix theory: Compactification on tori

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The term a_4 in the heat kernel expansion of noncommutative tori

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Modular curvature for noncommutative two-tori

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The Gauss-Bonnet Theorem for the noncommutative two torus

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Q3999065

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Curved noncommutative torus and Gauss–Bonnet

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An asymmetric noncommutative torus

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Wavelets and singular integrals on curves and surfaces

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APPLICATIONS OF MAGNETIC ΨDO TECHNIQUES TO SAPT

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Q5597196

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The Ricci curvature for noncommutative three tori

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Q3342857

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Morita equivalence of smooth noncommutative tori

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Strong Morita equivalence of higher-dimensional noncommutative tori. II

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Q5556787

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Curvature of the determinant line bundle for the noncommutative two torus

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On the scalar curvature for the noncommutative four torus

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On the Chern-Gauss-Bonnet theorem and conformally twisted spectral triples for $C^*$-dynamical systems

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The Gauss-Bonnet theorem for noncommutative two tori with a general conformal structure

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Scalar curvature for the noncommutative two torus

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Weyl's law and Connes' trace theorem for noncommutative two tori

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Scalar curvature for noncommutative four-tori

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Noncommutative residues for pseudo-differential operators on the noncommutative two-torus

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The Ricci curvature in noncommutative geometry

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Q5760570

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Singular integrals in quantum Euclidean spaces

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Q4956073

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The local structure of twisted covariance algebras

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Produits tensoriels topologiques et espaces nucléaires

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Pseudodifferential calculus on noncommutative tori, II. Main properties

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Laplace-Beltrami operators on noncommutative tori

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The inverse function theorem of Nash and Moser

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A Riemann-Roch theorem for the noncommutative two torus

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Gauss-Bonnet for matrix conformally rescaled Dirac

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Magnetic pseudodifferential operators with coefficients in $C^*$-algebras

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Modular curvature and Morita equivalence

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The canonical trace and the noncommutative residue on the noncommutative torus

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Strong Morita equivalence of higher-dimensional noncommutative tori

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Scalar curvature in conformal geometry of Connes-Landi noncommutative manifolds

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Modular curvature for toric noncommutative manifolds

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Q3392335

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Q3905952

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Analogues of the exponential map associated with complex structures on noncommutative two-tori

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C*-algebras associated with irrational rotations

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Deformation quantization of Heisenberg manifolds

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Deformation quantization for actions of 𝑅^{𝑑}

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MORITA EQUIVALENCE OF MULTIDIMENSIONAL NONCOMMUTATIVE TORI

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Noncommutative variations on Laplace's equation

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Levi-Civita's theorem for noncommutative tori

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Pseudo-Differential Operators and Symmetries

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Q4052400

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SPECTRAL INVARIANCE OF DENSE SUBALGEBRAS OF OPERATOR ALGEBRAS

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String theory and noncommutative geometry

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mardi Publication:5225819