Characterizations of pseudodifferential operators on the circle

DOI10.1090/S0002-9939-97-04016-1zbMath0870.47030OpenAlexW1481227666MaRDI QIDQ4336599

Severino Toscano Melo

Publication date: 13 May 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-04016-1

zbMATH Keywords

smooth operatorpseudodifferential operators on the circleregular representation of \(\mathbb{S}^ 1\)

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Pseudodifferential operators (47G30)

Related Items (12)

The Dixmier trace of Hankel operators on the Bergman space ⋮ Generation of semigroups for vector-valued pseudodifferential operators on the torus ⋮ Local and global symbols on compact Lie groups ⋮ Projective analytic vectors and infinitesimal generators ⋮ Quantization of pseudo-differential operators on the torus ⋮ The nuclear trace of periodic vector‐valued pseudo‐differential operators with applications to index theory ⋮ The large-\(N\) limit of the Segal-Bargmann transform on \(\mathbb U_N\) ⋮ Commutator characterization of periodic pseudodifferential operators ⋮ Mapping properties for operator-valued pseudodifferential operators on toroidal Besov spaces ⋮ The canonical trace and the noncommutative residue on the noncommutative torus ⋮ Lower Order Terms in Szegö Type Limit Theorems on Zoll Manifolds^† ⋮ On the Toroidal Quantization of Periodic Pseudo-Differential Operators

Cites Work

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• On pseudo-differential operators and smoothness of special Lie-group representations
• Elliptic pseudo-differential operators - an abstract theory
• A \(\psi ^ *\) algebra of pseudodifferential operators on noncompact manifolds
• Relative Inversion in der Störungstheorie von Operatoren und \(\Psi\)- Algebren. (Relative inversions in perturbation theory of operators and \(\Psi\)-algebras)
• Local and Global Descriptions of Periodic Pseudodifferential Operators
• The fourier series representation of pseudo-differentiai operators on closed curves
• Smooth tame Fréchet algebras and lie groups of pseudodifferential operators
• Deformation quantization for actions of 𝑅^{𝑑}

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