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The Wodzicki residue for pseudo-differential operators on compact Lie groups

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Publication:6623890
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DOI10.1007/978-3-031-24311-0_9MaRDI QIDQ6623890

Duván Cardona

Publication date: 24 October 2024





zbMATH Keywords

Wodzicki residuemethod of the analytic continuation of traces


Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)


Cites Work

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  • Hörmander class of pseudo-differential operators on compact Lie groups and global hypoellipticity
  • Complex powers of elliptic pseudodifferential operators
  • On the noncommutative residue for pseudodifferential operators with log-polyhomogeneous symbols
  • Traces and quasi-traces on the Boutet de Monvel algebra.
  • Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems
  • A Laurent expansion for regularized integrals of holomorphic symbols
  • \(L^p\) Fourier multipliers on compact Lie groups
  • The noncommutative residue for manifolds with boundary
  • Oscillating singular integral operators on compact Lie groups revisited
  • Pseudo-Differential Operators and Symmetries







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