Mathematics – Spectral Theory
Scientific paper
1999-03-31
Mathematics
Spectral Theory
LaTeX, 27 pages
Scientific paper
The recently introduced concept of a spectral shift operator is applied in several instances. Explicit applications include Krein's trace formula for pairs of self-adjoint operators, the Birman-Solomyak spectral averaging formula and its operator-valued extension, and an abstract approach to trace formulas based on perturbation theory and the theory of self-adjoint extensions of symmetric operators.
Gesztesy Fritz
Makarov Konstantin A.
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