Bücher/Books

(2) (mit V. Totik) General Orthogonal Polynomials.

Volume 43 of ‘Encyclopedia of Mathematics And Its Applications’, Cambridge University Press 1992.

(1) Cluster Analyse großer Objektmengen mit problemorientierten Distanzmaßen.

Harri Deutsch Verlag, Frankfurt, 1985

Artikel/Articles in Refereed Journals and Conference Proceedings

(72) Asymptotic distributions of zeros of quadratic Hermite-Padé polynomials associated with the exponential function. Manuscript, 42 pages.
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(71) Quadratic Hermite-Padé polynomials associated with the exponential function. Manuscript, 48 pages. Submitted to J. Approx. Theory.
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(70) Best Uniform Rational Approximation of x^\alpha on [0,1].   Will appear in ACTA MATHEMATICA , 55 pages.
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(69) Asymptotics for Quadratic Hermite-Padé polynomials associated with the exponential function. ETNA, Electr. Trans. Numer. Analysis, 14 (2002), 193-220.
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(68) (with L. Baratchart and F. Wielonsky) Asymptotic error estimates for L^2 best rational approximants to Markov functions .  J. Approx. Theory, 108 (2001), 53-96 .
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(67) (with L. Baratchart and F. Wielonsky) Asymptotic uniqueness of best rational approximants of given degree to Markov functions in L^2 on the circle.
Constructive Approximation 17, (2001), 103-138.
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(66) Strong asymptotics for orthogonal polynomials with varying weights. Acta Sci. Math. (Szeged), 66 (2000),  147-192.
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(65) (with L. Baratchart and F. Wielonsky) Non-uniqueness of rational best approximants. J.Comp. Appl. Math., 105 (1999), 141-54.
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(64) Rational best approximants in the Hardy space H^2. In:"Self-similar Systems", Proceedings of the International Workshop 1998, Dubna, Eds.: V.B. Priezhev and V.P. Spiridonov. JINR, Dubna, 1999, 362-83.
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( 63) Spurious Poles in Padé Approximation. J.Comp. Appl. Math., 99 (1998), 511-27.
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(62) The convergence of diagonal Padé approximants and the Padé conjecture. J. Comp. Appl. Math. (1997), 86, 287-96.

(61) (with E. Saff) The Walsh Table for |x|^a. Can. J. Math. (1997), 49, 1034-65.

(60) Conjectures Around the Baker-Gammel-Wills-Conjecture. Constr. Approx. (1997) 13, 287-292.

(59) The convergence of Padé approximants to functions with branch points. J. Approximation Theory (1997), 91, 139-204.

(58) Convergence of rational interpolants. NUMERICAL ANALYSIS - A conference in honor of Jean Meinguet - Supplement to the Bulletin of the Belgian Mathematical Society, Brussels, 1996, 11-33.

(57) Diagonal Padé approximants to hyperelliptic functions. Annels de la Faculté des Science de Toulouse, no spécial Stieltjes, 1996, 121-193.

(56) (with K. Driver) Simultaneous rational approximants to Nikishin Systems of two functions. In: "Computational Methods and Function Theory (CMFT'94)", eds.: R.M. Ali, St. Ruscheweyh and E.B. Saff. World Scientific Publ. Singapure 1996, 135-46.

(55) Simultaneous rational approximants. In: "Computational Methods and Function Theory (CMFT'94)", eds.: R.M. Ali, St. Ruscheweyh and E.B. Saff. World Scientific Publ. Singapure 1996, 325-49.

(54) (with K. Driver) Simultaneous rational approximants to Nikishin systems II. Acta Sci. Math. (Szeged), 61 (1995), 261-84.

(53) (with K. Driver) Simultaneous rational approximants to Nikishin systems I. Acta Sci. Math. (Szeged), 60 (1995), 245-63.

(52) Best Uniform Rational Approximation of x^a on [0,1]. Manuscript , 39 pages.

(51) (with K. Driver) Normality and error formulae for simultaneous rational approximants to Nikishin Systems. In: ed. A. Cuyt, "Nonlinear Numerical Methods and Rational Approximation II Kluwer Acad. Publ., (1994), 97-105.

(50) (with K. Driver) Normality of Nikishin Systems. Indag. Mathem.,5, (1994), 161-187.

(49) (with E. Saff) Asymptotic distribution of poles and zeros of best rational approximants for xa on [0,1]. In "Topics in Complex Analysis", Banach Center Publications, Vol. 31, Polish Academy of Sciences, Warszawa (1995), 329-347.

(48) (with M. Eiermann) Zeros of Orthogonal Polynomials on Regular N-gons. Has been accepted for publication in the new edition of "Linear and Complex Analysis Problem Book", eds.: V. Havin, N. Nikolskii, 3 Seiten.

(47) Poles and Zeros of Best Rational Approximants for |x|. Constr. Approx., 10 (1994), 469-522.

(46) Best Uniform Rational Approximation of x^a on [0,1]. Bulletin Amer.Math.Soc. 28 (1993), 116-122.

(45) (with T. Bloom and D. S. Lubinsky) Distribution of Points in Convergent Sequences of Interpolatory Integration Rules: The Rates. Intern. Series of Numerical Mathematics, Vol. 112, (1993) Birkhäuser Verlag, Basel, 25-37.

(44) (with T. Bloom and D. S. Lubinsky) Distribution of Points for Convergent Interpolatory Integration Rules on (-?, ?). Constr. Approx. 9 (1993), 59-82.

(43) (with T. Bloom and D. S. Lubinsky) What Distribution of Points Are Possible for Convergent Sequences of Interpolatory Integration Rules? Constr. Approx. 9 (1993), 41-58.

(42) Best Uniform Rational Approximants of |x| on [-1, 1]. Mat. Sbornik 183 (1992), 85-118; English Transl. in Russian Acad. Sci. Sb. Math. 76 (1993), 461-487.

(41) (with T. Bloom and D. S. Lubinsky) Interpolatory Integration Rules and Orthogonal Polynomials with Varying Weights. Numerical Algorithms 3 (1992), 55-66.

(40) (with E. Saff) Sequences in the Walsh Table of |x|^a. In: "Constructive Theory of Funcstions ´91", eds.: Ivanov, G. K., et alii, Publishing House of the Bul. Acad., Sofia 1992, 249-257.

(39) Uniform Approximation of |x| on [-1, 1]. In: "Methods of Approximation Theory in Complex Analysis and Mathematical Physics", eds.: Gonchar, A.A., Saff, E.B., Moscow "NAUKA" 1992, pp 110-130.

(38) (mit U. Stark) Sozialstruktur der Bevölkerung in den Statistischen Gebieten von Berlin (West). Berliner Statistik 4/92, 117-130.

(37) Best Rational Approximants to Markov Functions. In: "Approximation Theory, Kecskemet (Hungary), 1990", ed.: Szabados, J. et alii, Colloquia Mathematica Societatis Janos Bolyai, Budapest 1992, pp 627-643.

(36) (mit A. I. Aptekarev) Asymptotics of Hermite-Padé Polynomials. In: "Progress in Approximation Theory", eds. A.A. Gonchar and E.B. Saff, ©Springer-Verlag (1992), 127-167.

(35) Orthogonal Polynomials with Respect to Complex-Valued Measures. In: "Orthogonal Polynomials and their Applications, eds.: C. Brezinski, L. Gori and A. Ronveaux, J.C. Baltzer AG, Scientific Publishing Co IMACS, 1991, 139-154.

(34) On Regular n-th Root Asymptotic Behavior of Orthonormal Polynomials. J. Approximation Theory 66, (1991), 125-161.

(33) (mit V. Totik) N-th Root Asymptotic Behavior of Orthonormal Polynomials. In: "Orthogonal Polynomials, Theory and Practice, Proceedings of the NATO Advanced Study Institute on Orthogonal Polynomials and Their Applications", ed.: Paul Nevai, Kluwer Academic Publishers, Dordrecht, 1990, 395-418.

(32) General Convergence Results for Rational Approximants. In: Approximation Theory IV, eds.: Chui, Schumaker, and Ward, Academic Press, Boston, 1990, 605-634.

(31) On the convergence of generalized Padé approximants. Constructive Approximation 5, (1989), 221-240.

(30) (mit G. Wiegand & M. Weigelt) Box-Jenkins Analysis of Air Pollution Data. In: Proceeding der 16. Jahrestagung der DGOR 1987, Springer Verlag, Heidelberg 1988, 417-424.

(29) (mit G. Wiegand & M. Weigelt) Transfer-Funktionsmodelle der Tagesmittelwerte von fünf Immissions Zeitreihen. In: Monatsberichte aus dem Meßnetz des Umweltbundesamtes Berlin 2/87, ed.: Umweltbundesamt Berlin, 1987, 33-72.

(28) (mit G. Wiegand & M. Weigelt) Box-Jenkins-Analyse der Tagesmittelwerte von Immis- sionsmessungen verschie- dener Schadstoffe an unterschiedlichen Stationen. In: Monatsberichte aus dem Meßnetz des Umweltbundesamtes Berlin 12/86, ed.: Umweltbundesamt Berlin, 1987, 5-36.

(27) (mit G. Wiegand & M. Weigelt) Multivariate Regressionsanalyse der Tagesmittelwerte von Immissionsmessungen ohne Berücksichtigung der Zeitreiheneigenschaft. In: Monatsberichte aus dem Meßnetz des Umweltbundesamtes Berlin 11/86, ed.: Umweltbundesamt Berlin, 1987, 4-33.

(26) Asymptotics of Hermite-Padé Polynomials and Related Convergence Results - A Summery of Results. In: Nonlinear Numerical Methods and Rational Approximation, ed.: Annie Cuyt, D.Reidel Publ. Company 1988, 23-53.

(25) (mit G. Wiegand & M. Weigelt) Box-Jenkins Analysis of the Monthly Averages for Concentration Measurements of Various Air Pollutants at Different Stations. In the Proceedings of the EMEP Workshop on Data Analysis and Presentation, EMEP/CC Report 7-87, Norsk Institutt for Luft Forskning, Lillestrœm, Norway, 1987, 237-262.

(24) N-th Root Asymptotics of Orthonormal Polynomials and Non-Diagonal Padé Approximants. In: Orthogonal Polynomials and their Applications, Proceedings, Segovia 1986. eds.: M.Alfaro et al., Lect. Notes Math. 1329, Springer-Verlag, Berlin 1988, 308-319.

(23) (mit G. Wiegand & M. Weigelt) Box-Jenkins-Analyse der Monatsmittelwerte von Immissionsmessungen verschie- dener Schadstoffe an unterschiedlichen Stationen. In: Monatsberichte aus dem Meßnetz des Umweltbundesamtes Berlin 7/86, ed.: Umweltbundesamt Berlin, 1987, 5-41.

(22) Existence and uniqueness of rational interpolants with free and prescribed poles.In: Approximation Theory, Tampa, Proceedings, 1985-1986 ed.: E.B. Saff, Lect. Notes Math. 1287, Springer-Verlag, Berlin 1987, 180-208.

(21) A note on a theorem of Mhaskar and Saff. In: Approximation Theory, Tampa, Proceedings, 1985-1986 ed.: E.B. Saff, Lect. Notes Math. 1287, Springer-Verlag, Berlin 1987, 176-179.

(20) Three different approaches to a proof of convergence for Padé approximants. In: Rational Approximation and its Application in Mathematics and Physics, ed.: J. Gilewicz, Lect. Notes Math. 1237, Springer-Verlag, Berlin 1987, 79-124.

(19) Non-diagonal Padé approximants to Markov functions. In: Approximation Theory V, eds.: Chui, Schumaker, and Ward, Acadenic Press, 1986, 571-574.

(18) A note on three conjectures by Gonchar about rational approximation. J. Approx. Theory 50, (1987), 3-7.

(17) Orthogonal polynomials with a complex weight function II. Constructive Approximation 2, (1986), 241-251.

(16) Orthogonal polynomials with a complex weight function I. Constructive Approximation 2, (1986), 225-240.

(15) Cluster analysis of large data sets. In: Classification as a Tool of Research, eds.: W. Gaul and M. Schader, North Holland, 1986, 423-430.

(14) On the convergence of certain Padé approximants and the behaviour of the associated orthogonal polynomials. In:Polynomes Orthogonaux et Applications, eds.: C. Brezinski et alii, Lect. Notes Math. 1171, Springer-Verlag, Berlin 1985, 321-330.

(13) The divergence of diagonal Padé approximants and the asymptotic behavior of orthogonal polynomials associated with non-positive measures. Constructive Approximation 1, (1985), 249-270.

(12) The structure of extremal domains associated with an analytic function. Complex Variables 4, (1985), 339-354.

(11) Extremal domains associated with an analytic function II. Complex Variables 4, (1985), 325-338.

(10) Extremal domains associated with an analytic function I. Complex Variables 4, (1985), 311-324.

(9) Beiträge zum "Lexikon der Informatik und Datenverarbeitung", ed.: H-J. Schneider, Oldenbourg Verlag, München 1983 (2. Ed. 1986)

(8) (mit U. Fellberg and K.-H. Neumann) Typische Konstellationen der Beschäftigung ausländischer Arbeitnehmer. Mitteilungen aus der Arbeitsmarkt- und Berufsforschung 13 (1980), 272-292.

(7) Beschreibung der Sozialstruktur in Berlin (West) mit Hilfe der Faktorenanalyse. Berliner Statistik 14(1980), 37-52.

(6) On the convergence of Padé approximants to Hamburger functions. In: Proceedings of the International Conference on Constructive Function Theory, ed. Vacov, Sofia 1980, 497-507.

(5) Die Klassifikation der Bevölkerungsbewegung nach Wanderungsmotiven. In: Demo- graphische Plannungsinforma- tionen, ed.: E. Elsner, Kulturbuch, Berlin 1977, 283-305.

(4) (mit K. Page and R. Schlittgen) Statistische Analyse von endlichen Markoffketten. In: Probleme der Parameter- schätzung bei Stochastischen Prozessen , ed. Tautu, Deutsches Krebsforschungszentrum Heidelberg 1977, 1-16.

(3) (with K. Page and R. Schlittgen) Exact tests for Markov chains. COMSTAT 1976, Physica- Verlag Wien 1976, 46-54.

(2) Orthogonal polynomials of complex-valued measures and the convergence of Padé approximants. In: Fourier Analysis and Approximation Theory, ed.: Vertesi, Colloquia Mathematica Societatis Janos Bolyai, Budapest 1976, 771-788.

(1) Beiträge zum Problem der Konvergenz von Padé Approximierenden. Dissertation am FB 3 der TU-Berlin, Berlin 1976.