## Methods of J-theory in continuous interpolation problems of analysis, Volume 1 |

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### Contents

Si Introduction | 1 |

function as a continuous interpolation problem | 16 |

Fundamental Matrix Inequality for the problem of Integral | 25 |

10 other sections not shown

### Common terms and phrases

Akad analytic contractions analytic functions becomes chain identity complex plane continuous Hermitian positive da(X defined definition do(X Dokl dp(X entire function estimate expansive matrix exponential type extended Nevanlinna class finite interval following inequality formula fractional-linear transformation function of class function w(z fundamental matrix inequality hence Hermitian matrix Hermitian operators Hermitian positive function holomorphic implies inequality is satisfied inner matrix inner matrix-function integral operator integral representation invertible kernel K(t,x Kovalishina Krein left side Lemma Let W(z limit circle limit point logarithmic subharmonic function lower half-planes matrix A(z measure dx(X Mergelyan function meromorphic functions meromorphic in Imz Nevanlinna-Pick problem non-degenerate non-negative non-real obtain parameter polar decomposition positive function S(t problem of integral proved real axis Remark representing measure resolvent matrix RFMI satisfies condition satisfying the condition scalar solution of FMI Suppose symmetry relation theory unitary matrix upper half-plane V.P. Potapov Weyl matrix