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REGULARIZED TRACES AND TAYLOR EXPANSIONS FOR THE HEAT SEMIGROUP

Published online by Cambridge University Press:  25 September 2003

MICHAEL HITRIK  and
IOSIF POLTEROVICH
MICHAEL HITRIK
Affiliation:
Department of Mathematics, University of California, Berkeley, CA 94720, USAhitrik@math.berkeley.edu
IOSIF POLTEROVICH
Affiliation:
MSRI, 1000 Centennial Drive, Berkeley, CA 94720, USAiossif@msri.org
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Abstract

The coefficients in asymptotics of regularized traces and associated trace (spectral) distributions for Schrödinger operators with short and long range potentials are computed. A kernel expansion for the Schrödinger semigroup is derived, and a connection with non-commutative Taylor formulas is established.

Keywords

35J1035P2558J3758J35
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 68 , Issue 2 , October 2003 , pp. 402 - 418
Copyright
The London Mathematical Society 2003

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