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algorithm analytic function analytic in Rep applied arbitrary assume asymptotic behavior Blaschke product boundary conditions boundary value bounded bounded functions bounded-real function bounded-real matrix capacitors causal characteristic impedance conclude consider constant constraint continuous function Corollary corresponding defined definition described differential equations discussion distributed networks eigenvalues entire functions example exists fact finite number Fourier transform given gyrators implies impulse response inductors infinitely differentiable input impedance input reflection factor integral equation jco0 Laplace transform Lemma linear lossless Maxwell's equations meromorphic functions Moreover n x n matrix n-port n-vector nonnegative nonnegative-definite nonzero obtain output parameters particular passive systems physical poles ports positive-real function positive-real matrix problem proof of Theorem rational function representation result satisfy scattering matrix Section Sn(p solution techniques terminated theory time-invariant tion topology two-port network uniquely determined unit resistor vanish variables waveguide ZA(p