Methods of J-theory in Continuous Interpolation Problems of Analysis, Volume 1 |
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Akad analytic contractions analytic functions becomes block-matrix complex plane continuous Hermitian positive defined definition Dokl entire function entire J inner equality equivalent expansive matrix exponential type extended Nevanlinna class finite interval following inequality formula fractional-linear transformation function of class function w(z fundamental matrix fundamental matrix inequality hence Hermitian operators Hermitian positive function holomorphic Im z implies inner matrix inner matrix-function integral representation invertible Kovalishina Krein left side Lemma Let W(z limit circle logarithmic subharmonic function matrix A(z matrix-function W(z Mergelyan function meromorphic meromorphic functions Nevanlinna pair Nevanlinna-Pick problem non-degenerate non-negative non-real obtain parameter polar decomposition problem of integral Proof real axis Remark representing measure resolvent matrix RFMI satisfying the condition scalar solution of FMI subharmonic function Suppose symmetry relation theory unitary upper half-plane V.P. Potapov vector Weyl matrix x+iy z₁ z₂ ε ε