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Spectral asymptotics of random operators

✍ Scribed by S. M. Kozlov


Publisher
SP MAIK Nauka/Interperiodica
Year
1988
Tongue
English
Weight
603 KB
Volume
43
Category
Article
ISSN
0001-4346

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We prove a generalization of the Strong Szego Limit Theorem for Zoll type operators on smooth compact closed manifolds. More precisely, let X be a compact manifold, and let Q : C (X ) Γ„ C (X) be a self-adjoint first order elliptic 9DO whose spectrum is [1, 2, 3, . . .]. Let A be a zeroth order 9DO o