On symbol analysis of periodic pseudodifferential operators

DOI10.4171/ZAA/805zbMath0899.47039MaRDI QIDQ1381117

Gennadi Vainikko, Ville Turunen

Publication date: 17 March 1998

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansions for adjoints and productsperiodic pseudodifferential operatorssymbol analysis

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Integral operators (47G10) Pseudodifferential operators (47G30)

Related Items (20)

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 ⋮ On symbol analysis of periodic pseudodifferential operators ⋮ Dixmier traces for discrete pseudo-differential operators ⋮ Quantization of pseudo-differential operators on the torus ⋮ The nuclear trace of periodic vector‐valued pseudo‐differential operators with applications to index theory ⋮ Nuclearity of operators related to finite measure spaces ⋮ L ^p -bounds for Fourier integral operators on the torus ⋮ Commutator characterization of periodic pseudodifferential operators ⋮ Preconditioners based on windowed Fourier frames applied to elliptic partial differential equations ⋮ Fast collocation solvers for integral equations on open arcs ⋮ Self-adjointness and compactness of operators related to finite measure spaces ⋮ The canonical trace and the noncommutative residue on the noncommutative torus ⋮ On Pseudo-Differential Operators on Group SU(2) ⋮ Periodic Fourier integral operators in \(L^p\)-spaces ⋮ An integral operator representation of classical periodic pseudodifferential operators ⋮ Pseudo-differential operators generated by a non-local boundary value problem ⋮ \(L^p\)-boundedness and \(L^p\)-nuclearity of multilinear pseudo-differential operators on \(\mathbb{Z}^n\) and the torus \(\mathbb{T}^n\) ⋮ Weak type (1,1) bounds for a class of periodic pseudo-differential operators

Cites Work

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• On the approximate solution of elliptic pseudodifferential equations on a smooth closed curve
• Spectral properties of elliptic pseudodifferential operators on a closed curve
• Pseudodifferential operators and nonlinear PDE
• On symbol analysis of periodic pseudodifferential operators
• A fully-discrete trigonometric collocation method
• Corrected collocation methods for periodic pseudodifferential equations
• A fully discrete Galerkin method for integral and pseudodifferential equations on closed curves
• Local and Global Descriptions of Periodic Pseudodifferential Operators
• The fourier series representation of pseudo-differentiai operators on closed curves
• Trigonometric Collocation Methods with Product Integration for Boundary Integral Equations on Closed Curves

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