ABSTRACT

where P https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429332951/a5e9ddd2-7a84-42d5-9c66-2199fdb5b813/content/eq328.tif"/> stands for the Cauchy principal value of the improper integral that can be evaluated by contour integration as, () x ^ ( t ) = 1 π P [ ∫ ∞ − ∞ x ( t ) t − τ d τ ] = 1 π ∮ x ( z ) C t − z   d   z = 2j ∑ residues   of   poles   in   C   https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429332951/a5e9ddd2-7a84-42d5-9c66-2199fdb5b813/content/eq329.tif"/>