The paper defines generalized multiple operator integrals for continuous-spectrum operators and derives perturbation and spectral shift formulas, but the assumed spectral decomposition is not valid for the intended operator class.
Trace formula in noncommutative geometry and the zeros of the riemann zeta function,
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Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra
The paper defines generalized multiple operator integrals for continuous-spectrum operators and derives perturbation and spectral shift formulas, but the assumed spectral decomposition is not valid for the intended operator class.