Matematiska institutionen
Åbo Akademi

Lecturer Christer Glader

Research interests: Constructive methods for polynomial and rational Chebyshev approximation on the complex unit disk. Laurent polynomial approximation on the unit circle. Finite Blaschke products in connection with approximation and interpolation in the unit disk.

List of publications

  • Articles in international refereed journals:
    1. C. Glader and E. Wegert: Nonlinear Rational Riemann-Hilbert Problems with Circular Target Curves, Computational Methods and Function Theory, Vol 9 (2009), No. 2, 653 - 678.
    2. C. Glader and E. Wegert: Nonlinear Riemann-Hilbert Problems with Circular Target Curves, Mathematische Nachrichten, Vol. 281 (2008), No. 9, 1221 - 1239.
    3. C. Glader: Minimal Degree Rational Unimodular Interpolation on the Unit Circle, Electronic Transactions on Numerical Analysis, Vol. 30 (2008), 88 - 106.
    4. C. Glader: Rational Unimodular Interpolation on the Unit Circle, Computational Methods and Function Theory, Vol. 6 (2006), No. 2, 481 - 492.
    5. C. Glader and M. Lindström: A new algorithm for meromorphic Nevanlinna-Pick interpolation, Numerische Mathematik, Vol. 100 (2005), No.1, 49 - 69.
    6. C. Glader and M. Lindström: Finite Blaschke product interpolation on the closed unit disk, Journal of Mathematical Analysis and Applications, Vol. 273 (2002), No. 2, 417 - 427
    7. C. Glader: An Exchange Algorithm for Laurent Polynomial Chebyshev Approximation on the Unit Circle, Complex Variables: Theory and Application, Vol. 46, No. 4, (2001), 369 - 384.
    8. C. Glader: A method for rational Chebyshev approximation of rational functions on the unit disk and on the unit interval, Numerical Algorithms, Vol. 26, No. 2, (2001), 151-165.
    9. C. Glader and G. Högnäs: An equioscillation characterization of finite Blaschke products, Complex Variables: Theory and Application, Vol. 42, No. 2, (2000), 107-118.
    10. C. Glader: A Two-Parameter Family of Orthogonal Polynomials with Respect to a Jacobi-Type Weight on the Unit Circle, Journal of Mathematical Analysis and Applications, Vol. 240, No. 2, (1999), 583 - 599.
    11. C. Glader, G. Högnäs, P. M. Mäkilä and H. T. Toivonen: Approximation of delay systems - a case study, Int. J. Control, Vol. 53, No. 2, (1991), 369-390

  • Conference proceedings and edited works:
    1. C. Glader: Rational supremum norm approximation of transfer functions by the cf method, in ``Proceedings from the Twenty-First Nordic Congress of Mathematicians'',(M. Gyllenberg and L.E. Persson, Eds.), Lecture Notes in Pure and Applied Mathematics, Vol. 156, Marcel Dekker inc, NY, (1994), 129 - 138.

  • Preprints and theses:
    1. C. Glader: Constructive Methods for Rational Interpolation and Uniform Approximation on the Unit Disc, Acta Academiae Aboensis. Ser. B, Mathematica et physica, Vol. 65, No. 2, 2005. (Ph.D. thesis)
    2. C. Glader: A Family of Orthogonal Polynomials on the Unit Circle and Approximation of Transfer Functions, Åbo Akademi, Reports on Computer Science & Mathematics, Ser. A. No 166, 1995. (Ph.Lic. thesis)
    3. C. Glader: Om Carathe'odory - Feje'r approximation, rapporter från Åbo Akademi, informationsbehandling & matematik, Ser. B Nr 11, 1991. (M.Sc. thesis in Swedish)


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Uppdaterad 17.3.2005