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Journal of Operator Theory

Volume 80, Issue 1,  Summer  2018  pp. 113-124.

Taylor asymptotics of spectral action functionals

Authors:  Anna Skripka
Author institution: Department of Mathematics and Statistics, University of New Mexico, 400 Yale Blvd NE, MSC01 1115, Albuquerque, NM 87131, U.S.A.

Summary:  We establish a Taylor asymptotic expansion of the spectral action functional on self-adjoint operators Vτ(f(H+V)) with remainder O( and derive an explicit representation for the remainder in terms of spectral shift functions. For this expansion we assume only that H has \tau-compact resolvent and V is a bounded perturbation; in particular, neither summability of V nor of the resolvent of H is required.

DOI: http://dx.doi.org/10.7900/jot.2017jun19.2158
Keywords:  spectral action, perturbation theory

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