Communications in Mathematical Physics

, Volume 188, Issue 1, pp 233–249 | Cite as

On-Diagonal Estimates on Schrödinger Semigroup Kernels and Reduced Heat Kernels

  • Adam Sikora


We prove various estimates for the kernels of semigroups generated by Schrödinger operators with magnetic field and potential of polynomial growth. We also investigate the reduced heat kernels.


Magnetic Field Heat Kernel Polynomial Growth Semigroup Kernel Reduce Heat Kernel 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Adam Sikora
    • 1
  1. 1.Centre for Mathematics and its Applications, School of Mathematical Sciences, Australian National University, Canberra, ACT 0020, AustraliaAU

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