The Case n = 3

  • Fritz Gesztesy
  • Marcus Waurick
Part of the Lecture Notes in Mathematics book series (LNM, volume 2157)


This chapter is devoted to the necessary modifications (in terms of an additional resolvent regularization) for the trace computation of the operator \(\chi _{\varLambda }B_{L}(z) = z\chi _{\varLambda }\mathop{\mathrm{tr}}\nolimits _{N}\big(\left (L^{{\ast}}L + z\right )^{-1} -\left (LL^{{\ast}} + z\right )^{-1}\big)\) required in the special case n = 3.


Tracing Calculations Integral Kernel Trace Theorem Principal Scheme Trace Class 
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  1. 92.
    B. Simon, Trace Ideals and Their Applications, 2nd edn. Mathematical Surveys and Monographs, Vol. 120 (Amer. Math. Soc., Providence, RI, 2005)Google Scholar
  2. 105.
    D.R. Yafaev, Mathematical Scattering Theory. General Theory (Amer. Math. Soc., Providence, 1992)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Fritz Gesztesy
    • 1
  • Marcus Waurick
    • 2
  1. 1.Dept of MathematicsUniversity of MissouriColumbiaUSA
  2. 2.Institut für AnalysisTU DresdenDresdenGermany

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