An Addendum to Krein's Formula
Abstract
We provide additional results in connection with Krein's formula, which describes the resolvent difference of two self-adjoint extensions A1 and A2 of a densely defined closed symmetric linear operator A with (possibly infinite) equal deficiency indices. In particular, we explicitly derive the linear fractional transformation relating the operator-valued Weyl-Titchmarsh M-functions M1(z) and M2(z) corresponding to A1 and A2.
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