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Displaying similar documents to “Sur la théorie riemannienne de certains systèmes orthogonaux”

Conditions au bord spectrales et formules de trace

Gerd Grubb (2001-2002)

Séminaire Équations aux dérivées partielles

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The lecture presents current results on heat trace expansions, and the related resolvent trace and zeta function expansions, for elliptic operators with boundary conditions on n -dimensional compact manifolds. As a background, we recall the set-up of elliptic differential operators with differential boundary conditions having heat trace expansions in powers ∑ k ≥ - n c k t k / m . Then we consider the spectral boundary conditions of Atiyah, Patodi and Singer for Dirac-type first-order operators, leading to...