Interpolation and domination by positive definite kernels

  • P. H. Szafraniec
V Section — Function Theoretical Methods In Functional Analysis (Operators And Differential Operators)
Part of the Lecture Notes in Mathematics book series (LNM, volume 1014)


Extending the idea of a recent paper [2] of Fitzgerald and Horn we propose a RKHS(reproducing kernel Hilbert space) approach to solution of some interpolation problems.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    W.F. Donoghue, Jr., Monotone matrix functions and analytic continuation, Springer, Berlin-New York-Heidelberg, 1974.CrossRefzbMATHGoogle Scholar
  2. [2]
    C.H. FitzGerald R.A.Horn, On quadratic and bilinear forms in function theory, The Johns Hopkins University, Department of Mathematical Sciences, Technical Report No.305,June, 1979.Google Scholar
  3. [3]
    A. Korányi, On a theorem of Löwner and its connection with resolvents of self adjoint transformations, Acta Sci.Math., 17 (1956), 63–70.zbMATHGoogle Scholar
  4. [4]
    —, B. Sz.-Nagy, Operatortheoretische Behandlung und Verallgemeinerung eines Problem kreis in der Komplexen Functionentheorie, Acta Math., 100 (1958), 171–202.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [5]
    B. Sz.-Nagy, Remarks to the preceding paper of A.Korányi, Acta Sci, Math., 17 (1956), 71–75.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • P. H. Szafraniec
    • 1
  1. 1.Instytut MatematykiUniwersytet JagiellońskiKraków

Personalised recommendations