A Gauss-Laguerre approach for the resolvent of fractional powers
A Gauss-Laguerre approach for the resolvent of fractional powers
This paper introduces a very fast method for the computation of the resolvent of fractional powers of operators. The analysis is kept in the continuous setting of (potentially unbounded) self-adjoint positive operators in Hilbert spaces. The method is based on the Gauss-Laguerre rule, exploiting a particular integral representation of the …