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- W2051235694 abstract "The purpose of this paper is to consider the asymptotic behavior of the counting function N(λ) of eigenvalues for a class of differential operators containing the operator A=− Δ+(|x|2+1)py2, (x,y) ϵ Rp x R. For this type of operators, it is known that the first term of N(λ) as λ → ∞ is closely related to the first singularity of the meromorphic extension ZA(s) of the trace Tr A−s. We show that one can find the second term of N(λ) by using the extended Ikehara Tauberian theorem." @default.
- W2051235694 created "2016-06-24" @default.
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- W2051235694 date "1989-12-01" @default.
- W2051235694 modified "2023-09-26" @default.
- W2051235694 title "Complex powers of vector valued operators and their application to asymptotic behavior of eigenvalues" @default.
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- W2051235694 doi "https://doi.org/10.1016/0022-1236(89)90012-8" @default.
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