Abstract.
We obtain a Weyl formula for a class of positive md-elliptic operators on manifolds with finitely many cylindrical exits. Weyl formula is deduced by a classical Tauberian theorem through the asymptotic expansion at t=0 of the trace of the heat parametrix. The constant of the leading term is expressed invariantly by means of the usual principal symbol and exit symbols.
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Received: February 14, 2000¶Published online: June 11, 2002
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Maniccia, L., Panarese, P. Eigenvalue asymptotics for a class of md-elliptic ψdo’s on manifolds with cylindrical exits. Ann. Mat. Pura Appl. IV. Ser. 181, 283–308 (2002). https://doi.org/10.1007/s102310100042
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DOI: https://doi.org/10.1007/s102310100042