Dyadic Resolvent Representations of Self-Adjoint Operators: Propagator Expansions, Spectral Measures, and Zeta Functions

Nicholas Castillo

For a self-adjoint operator $A$ on a Hilbert space, the dyadic resolvent representation of Castillo, Costin and Costin expresses the resolvent $R_A(i\lambda )=(A-i\lambda {)}^{-1}$ as a series in…