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## Publications of Professor Thomas Kailath

Contributions to Books
 T. Kailath, L. Ljung and M. Morf, "Generalized Krein-Levinson Equations for Efficient Calculation of Fredholm Resolvents of Nondisplacement Kernels,'' Vol. 3, pp. 169-184, in Topics in Functional Analysis, Eds. I.C. Gohberg and M. Kac, Academic Press, NY, 1978. T. Kailath and B. Porat, "State-Space Generators for Orthogonal Polynomials,'' pp. 131-163 in Harmonic Analysis and Prediction Theory: Essays in Honor of P. Masani, Eds. H. Salehi and V. Mandrekar, North Holland, 1982. T. Kailath, "Equations of Wiener-Hopf Type in Filtering Theory and Related Applications,'' pp. 63-64 in Norbert Wiener: Collected Works, Vol. III, Ed. P. Masani, MIT Press, 1982. T. Kailath, "Notes on the Szego Unit Circle Orthogonal Polynomials in Least-Squares Prediction Theory,'' vol. 1, pp. 43-46 in G. Szego, Collected Works, 1915-1927, Ed. R. Askey, Birkhauser-Verlag, Boston, 1982. (Also, American Math. Soc. Annual Meeting, Toronto, Canada, Aug. 1982.) T. Kailath and A.M. Bruckstein, "Naimark Dilations, State-Space Generators and Transmission Lines,'' Vol. 17, pp. 173-186, in Operator Theory: Advances and Applications, Advances in Invariant Subspaces and Other Results of Operator Theory, Birkhauser, 1986. Abstract published Zentralblatt fur Mathematik. (Also, 9th Annual Int'l. Conf. on Operator Thy., Timisoara, Romania, June 1984.) T. Kailath and H. Lev-Ari, "On Mappings Between Covariance Matrices and Physical Systems,'' Vol. 47, pp. 241-252, in Contemporary Mathematics, Ed. B. Datta, Amer. Math. Socy., Providence, R.I., 1985. T. Kailath, "A Theorem of I. Schur and Its Impact on Modern Signal Processing,'' Vol. 18, pp. 9-30 (special issue), Operator Theory: Advances and Applications, I. Schur Methods in Operator Theory and Signal Processing, Ed. I. Gohberg, Birkhauser, 1986. H. Lev-Ari and T. Kailath, "Triangular Factorization of Structured Hermitian Matrices,'' Vol. 18, pp.301-324 (special issue), Operator Theory: Advances and Applications, I. Schur Methods in Operator Theory and Signal Processing, Ed. I. Gohberg, Birkhauser, 1986. T. Kailath, "Signal Processing Applications of Some Moment Problems,'' Vol. 37, pp. 71-109, in Moments in Mathematics, Ed. by H. Landau, Amer. Math. Socy., Providence, RI, 1987. (Also, Proc. of Symp. in Appl.Math., 1987.) T. Kailath and J. Chun, "Generalized Gohberg-Semencul Formulas,'' Vol. 40, pp. 231-246 in Operator Theory: Advances and Applications, Gohberg Anniversary Volume, Springer-Verlag, 1989. (Also, Int'l. Conf. on Operatory Theory: Advances and Applications, (plenary lecture), Calgary, Canada, August 1988.) J. Chun and T. Kailath, "Displacement Structure for Hankel, Vandermonde and Related (Derived) Matrices,'' Vol. 22, pp. 37-58 in Signal Processing and Mathematics, Pt. I: Signal Processing Theory Edition, Eds. T. Kailath, L. Auslander, and S. Mitter, Springer Verlag, New York, 1990. J. Chun and T. Kailath, "Generalized Displacement Structure for Block-Toeplitz, Toeplitz-Block, and Toeplitz-Derived Matrices,'' pp. 215-236, in Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms, Eds. G. Golub and P. Van Dooren, Springer-Verlag, 1991. (Also, NATO Conf. on Linear Algebra, Signal Processing and Computer Architectures, Leuven, Belgium, August 1988.) T. Kailath, "From Kalman Filtering to Innovations, Martingales, Scattering and Other Nice Things,'' pages 55--88, in Mathematical System Theory: The Influence of R.E. Kalman, Ed. A.C. Antoulas, Springer-Verlag, Communications and Control Engineering Edition, 1991. T. Kailath and A. H. Sayed, "Fast Algorithms for Generalized Displacement Structures,'' in Recent Advances in Mathematical Theory of Systems, Control, Networks and Signal Processing II, Ed. H. Kimura, S. Kodama, Mita Press, 1991. (Also, Int'l. Symp. Math. Thy. of Networks, Kobe, Japan, June 1991.) T. Constantinescu, A. Sayed and T. Kailath, "Structured Matrices and Moment Problems,'' pp. 25-43 in Challenges of a Generalized Systems Theory, Eds. P. Dewilde, M.A. Kaashoek and M. Verhaegen, North Holland, 1993. Sayed, Ali H.; Hassibi, Babak; Kailath, Thomas Inertia conditions for the minimization of quadratic forms in indefinite metric spaces. Recent developments in operator theory and its applications (Winnipeg, MB, 1994), 309--347, Oper. Theory Adv. Appl., 87, Kailath, Thomas Norbert Wiener and the development of mathematical engineering. The Legacy of Norbert Wiener: A Centennial Symposium (Cambridge, MA, 1994), 93--116, Proc. Sympos. Pure Math., 60, Amer. Math. Soc., Providence, RI, 1997 Hassibi, Babak; Kailath, Thomas; Sayed, Ali H. Array algorithms for $H\sp 2$ and $H\sp \infty$ estimation. Applied and computational control, signals, and circuits, Vol. 1, 67--120, Appl. Comput. Control Signals Circuits, 1, Birkhäuser Boston, Boston, MA, 1999 Constantinescu, Tiberiu; Sayed, Ali H.; Kailath, Thomas Structured extensions of matrices. Operator theoretical methods (Timi\c soara, 1998), 121--136, Theta Found., Bucharest, 2000.