UNIQUENESS OF TRACES ON LOG-POLYHOMOGENEOUS PSEUDODIFFERENTIAL OPERATORS

DOI10.1017/S1446788711001194zbMath1221.47089OpenAlexW2139814903MaRDI QIDQ3020573

Catherine Ducourtioux, Marie Françoise Ouedraogo

Publication date: 4 August 2011

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

Full work available at URL: https://doi.org/10.1017/s1446788711001194

zbMATH Keywords

log-polyhomogeneous pseudodifferential operatorsgraded traces

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Pseudodifferential operators (47G30) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Cites Work

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• Traces on pseudodifferential operators and sums of commutators
• On the noncommutative residue for pseudodifferential operators with log-polyhomogeneous symbols
• Residue traces for certain algebras of Fourier integral operators
• Symmetrized trace and symmetrized determinant of odd class pseudo-differential operators
• A Laurent expansion for regularized integrals of holomorphic symbols
• WEIGHTED TRACES ON ALGEBRAS OF PSEUDO-DIFFERENTIAL OPERATORS AND GEOMETRY ON LOOP GROUPS
• Uniqueness of the Kontsevich-Vishik trace

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