Unusual poles of the $ζ$-functions for some regular singular differential operators

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dc.creatorFalomir, H.
dc.creatorMuschietti, M. A.
dc.creatorPisani, P. A. G.
dc.creatorSeeley, R.
dc.date2003-03-12
dc.date2003-09-05
dc.date.accessioned2026-07-07T10:50:35Z
dc.date.available2026-07-07T10:50:35Z
dc.descriptionWe consider the resolvent of a system of first order differential operators 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 powers of $λ$ which depend on the singularity, and can take even irrational values. The consequences for the pole structure of the corresponding $ζ$ and $η$-functions are also discussed.
dc.description26 pages, 1 figure, LaTeX. References added. Version to appear in the Journal of Physics A: Math. and Gen
dc.identifierhttps://arxiv.org/abs/math-ph/0303030
dc.identifierhttp://arxiv.org/abs/math-ph/0303030
dc.identifierJ.Phys.A36:9991-10010,2003
dc.identifierdoi:10.1088/0305-4470/36/39/302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184580
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectFunctional Analysis
dc.subjectQuantum Physics
dc.subject81Q10, 34L05, 34L40
dc.titleUnusual poles of the $ζ$-functions for some regular singular differential operators
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