Methods of J-theory in Continuous Interpolation Problems of Analysis, Volume 1 |
Contents
Translators foreword | 1 |
representation of a Hermitian positive function | 25 |
Theorem on blockmatrix | 37 |
5 other sections not shown
Common terms and phrases
Akad analytic contractions analytic functions becomes block-matrix complex plane continuous Hermitian positive defined definition Dokl El-on entire function entire J inner equality equivalent expansive matrix extended Nevanlinna class finite interval following inequality formula fractional-linear transformation function of class function w(z fundamental matrix fundamental matrix inequality hence Hermitian matrix Hermitian positive function holomorphic Im z implies inner matrix inner matrix-function integral representation interpolation problems invertible kernel K(t,T 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 scalar solution of FMI subharmonic function Suppose symmetry relation Theorem unitary matrix upper half-plane V.P. Potapov vector Weyl matrix x+iy z₁ z₂ ε ε