Best kernel approximation in Bergman spaces

[1]  On the failure of optimal factorization for certain weighted bergman spaces , 1992 .

[2]  Tao Qian,et al.  Cyclic AFD algorithm for the best rational approximation , 2014 .

[3]  J. L. Walsh,et al.  The existence of rational functions of best approximation , 1931 .

[4]  A. Aleman,et al.  Beurling's Theorem for the Bergman space , 1996 .

[5]  H. Hedenmalm.  A factorization theorem for square area-integrable analytic functions. , 1991 .

[6]  K. Seip.  Beurling type density theorems in the unit disk , 1993 .

[7]  Similarity of parts to the whole for certain multiplication operators , 1987 .

[8]  P. Dang,et al.  Rational Approximation in a Class of Weighted Hardy Spaces , 2018, Complex Analysis and Operator Theory.

[9]  Kehe Zhu,et al.  The Bergman Spaces , 2000 .

[10]  Tao Qian,et al.  Frequency-domain identification: An algorithm based on an adaptive rational orthogonal system , 2012, Autom..

[11]  Brett Ninness,et al.  Frequency Domain Estimation Using Orthonormal Bases , 1996 .

[12]  Kehe Zhu.  Operator theory in function spaces , 1990 .

[13]  P. Dang,et al.  Reproducing kernel approximation in weighted Bergman spaces: Algorithm and applications , 2019, Mathematical Methods in the Applied Sciences.

[14]  B. Ninness,et al.  A unifying construction of orthonormal bases for system identification , 1997, IEEE Trans. Autom. Control..

[15]  J. Ball,et al.  Weighted Bergman Spaces: Shift-Invariant Subspaces and Input/State/Output Linear Systems , 2012, 1209.3687.

[16]  P. Galanopoulos.  Theory of Bergman spaces (I) , 2008, 0801.1512.

[17]  Håkan Hjalmarsson,et al.  The fundamental role of general orthonormal bases in system identification , 1999, IEEE Trans. Autom. Control..

[18]  An enhancement algorithm for cyclic adaptive Fourier decomposition , 2018, Applied and Computational Harmonic Analysis.

[19]  Tao Qian,et al.  Two-Dimensional Frequency-Domain System Identification , 2020, IEEE Transactions on Automatic Control.

[20]  T. Qian,et al.  A Theory on Non-Constant Frequency Decompositions and Applications , 2020 .

[21]  Tao Qian,et al.  Optimal approximation by Blaschke forms , 2013 .

[22]  Martine Olivi,et al.  Identification and rational L2 approximation A gradient algorithm , 1991, Autom..

[23]  Interpolating sequences for the Bergman space. , 1994 .