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Pointwise Weyl Laws for Quantum Completely Integrable Systems

math.AP · 2024-11-15 · conditional · novelty 6.0

Joint spectral projections of a commuting tuple of pseudodifferential operators have an explicit oscillatory integral asymptotic with O(lambda^{n-1}) remainder, generalizing Hörmander's pointwise Weyl law.

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  • Pointwise Weyl Laws for Quantum Completely Integrable Systems math.AP · 2024-11-15 · conditional · none · ref 7

    Joint spectral projections of a commuting tuple of pseudodifferential operators have an explicit oscillatory integral asymptotic with O(lambda^{n-1}) remainder, generalizing Hörmander's pointwise Weyl law.