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تسجيل مستخدم جديدOn the resolvent and spectral functions of a second order differential operator with a regular singularity
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We consider the resolvent of a second order differential operator with a regular singularity, admitting a family of self-adjoint extensions. We find that the asymptotic expansion for the resolvent in the general case presents unusual powers of $lambda$ which depend on the singularity. The consequences for the pole structure of the $zeta$-function, and the small-$t$ asymptotic expansion of the heat-kernel, are also discussed.
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