Hankel operator and H_∞ distance problem over a simply-connected domain

REFERENCES

• ABRAHAMSE , M. B. , 1979 , The Pick interpolation theorem for finitely connected domains. Michigan Mathematical Journal , 26 , 195 – 203 .
   Google Scholar
• BALL , J. , 1979 , A lifting theorem for operator models of finite rank on multiply connected domains. Journal of Operator Theory , 1 , 3 – 25 .
   Google Scholar
• FISHER , S. D. , 1983 , Function Theory on Planar Domains ( New York Wiley ).
   Google Scholar
• HENRICI , P. , 1974 , Applied and Computational Complex Analysis , Vols 1-3 ( New York Wiley ) .
   Google Scholar
• JONCKHEERE , E. , and LI , R. , 1987 , Generalization of optimal Hankel-norm and balanced model reduction by bilinear mapping. International Journal of Control , 45 , 1751 – 1769 ; 1992, Inner functions and bounded real lemma over simply connected domain. Proceedings of the 1991 International Symposium on the Mathematical Theory of Networks and Systems (MTNS'91), Kobe, Japan (Tokyo M1TA Press), pp. 71–76.
   Web of Science ®Google Scholar
• LI , R. , and JONCKHEERE , E. , 1992 , Model reduction over simply connected domain. Proceedings of the 1991 International Symposium on the Mathematical Theory of Networks and systes (MTNS'91) , Kobe , Japan ( Tokyo MITA Press ) , pp. 461 – 466 .
   Google Scholar
• MARKUSHEVICH , A. I. , 1977 , Theory of Functions of a Complex Variable ( New York Chelsea Publishing ).
   Google Scholar
• MAZKO , 1980 , The Lyapunov matrix equation for a certain class of regions bounded by an algebraic curve. Soviet Automatic Control , 42 , 12 – 17 .
   Google Scholar
• SARASON , D. , 1965 , The HP spaces of an annulus . Memoirs of the American Mathematical Society , 56 .
   Google Scholar