Werner Haussmann

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Werner Haussmann (born November 12, 1941 in Nürtingen ; † August 11, 2010 in Mülheim an der Ruhr ) was a German mathematician and university professor . The focus of his work was applied analysis .

Life

Haussmann studied mathematics and physics at the University of Tübingen and received his doctorate in 1969 from Hartmut Ehlich on Hermite interpolation in several variables, a topic from multivariate approximation theory . In 1971 he also completed his habilitation with Ehlich with a thesis on spline systems and initially taught as a lecturer, scientific adviser and professor at Bochum University until he was appointed to the then comprehensive university in Duisburg . Since 1975 - even after his retirement in 2007 - he has made a significant contribution to developing Duisburg into an internationally recognized center for applied analysis. He maintained numerous international contacts, was involved in the promotion of young domestic and foreign scientists and as a co-organizer of six international conferences on multivariate approximation - one in Duisburg in 1989, three following in Witten-Bommerholz (1996, 2000, 2002), and one in Oberwolfach (1988) and one as a NATO Advanced Research Workshop in Hanstholm / Denmark (1991). Werner Haußmann was repeatedly dean or managing director of mathematics, member of numerous committees of the University of Duisburg and from 2001 to 2003 its prorector for planning and finance.

plant

Through his diploma thesis in Tübingen on Chebyshev approximation with exponential functions, Haußmann came into contact early on with the research areas of H. Ehlich and Karl Zeller , multivariate interpolation , approximation theory and potential theory , which he has been working on together with Zeller and other authors over the past two decades authored more than 20 joint articles in the late 1970s. Since the beginning of the 1980s, he has specialized in questions of harmonic approximation, which he then tackled with the Bulgarian research community around Borislav D. Bojanov. Altogether he wrote over 60 articles in mathematical journals himself or together with other authors. His doctoral students include Hans-Bernd Knoop and Heiner Gonska .

Fonts (selection)

  • with H. Ehlich: Convergence of multi-dimensional interpolation. In: Numerical Mathematics. (23), 1970, pp. 165-174. doi : 10.1007 / BF02165380
  • Multi-dimensional Hermite interpolation. In: Iterationsverfahren Numerical Mathematics Approximation Theory - International Series of Numerical Mathematics / International Series of Numerical Mathematics / Série Internationale D'Analyse Numérique, 15 (1970), pp. 147–160. doi : 10.1007 / 978-3-0348-5833-5_17
  • Tensor products and multidimensional interpolation. In: Mathematical Journal. 113, pp. 17-23 (1970). doi : 10.1007 / BF01110093
  • Tensor product methods for multi-dimensional interpolation. In: Mathematical Journal. 124: 191-198 (1972). doi : 10.1007 / BF01110796
  • with P. Pottinger: On multivariate approximation by continuous linear operators. In: Constructive Theory of Functions of Several Variables-Lecture Notes in Mathematics. 571: 101-108 (1977). doi : 10.1007 / BFb0086567
  • with K. Zeller: Blending interpolation and best L 1-approximation. In: Archives of Mathematics. 40: 545-552 (1983). doi : 10.1007 / BF01192822
  • with L. Rogge: Uniqueness Inequality and Best Harmonic L1-Approximation. In: General Inequalities 5, International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerische Mathematik Série internationale d'Analyse numérique. 80: 151-160 (1987). doi : 10.1007 / 978-3-0348-7192-1_12
  • with K. Zeller: H-Sets and Best Uniform Approximation by Solutions of Elliptic Differential Equations. In: Results in Mathematics. 14: 84-92 (1988). doi : 10.1007 / BF03323218
  • with E. Luik: Cubature Remainder Estimates by Approximation Degrees. In: Results in Mathematics. 16, pp. 212-227 (1989). doi : 10.1007 / BF03322473
  • with K. Zeller, L. Wehrend: Mean Value Theorems and Best L 1-Approximation. In: Approximation by Solutions of Partial Differential Equations. (NATO ASI Series) 365 (1992), pp. 93-102. doi : 10.1007 / 978-94-011-2436-2_10
  • with M. Goldstein, L. Rogge: Characterization of Open Strips by Harmonic Quadrature. In: Approximation by Solutions of Partial Differential Equations. ( NATO ASI Series. ) 365 (1992), pp. 87-92. doi : 10.1007 / 978-94-011-2436-2_9
  • with OI Kounchev: Variational Property of the Peano Kernel for Harmonicity Differences of Order p. In: Clifford Algebras and Their Application in Mathematical Physics. 94 (1998), pp. 185-199. doi : 10.1007 / 978-94-011-5036-1_15
  • with D. Dryanov, P. Petrov: Best One-Sided L 1-Approximation by B 2,1-Blending Functions. In: Recent Progress in Multivariate Approximation. ISNM International Series of Numerical Mathematics. 137 (2001), pp. 115-134. doi : 10.1007 / 978-3-0348-8272-9_9

Conference proceedings

  • W. Haussmann, K. Jetter (Ed.): Multivariate Approximation and Interpolation. Proceedings of an International Workshop held at the University of Duisburg, August 14-18, 1989. (= International Series of Numerical Mathematics. Volume 94), ISBN 3-0348-5685-7 .
  • W. Haussmann, K. Jetter, M. Reimer (Eds.): Multivariate approximation. Recent trends and results. Proceedings of the 2nd International Conference on Multivariate Approximation Theory held at Witten-Bommerholz, Germany, September 29-October 4, 1996, ISBN 3-05-501770-6 .
  • W. Haussmann, K. Jetter, M. Reimer (Eds.): Recent Progress in Multivariate Approximation. 4th International Conference, Witten-Bommerholz (Germany), September 2000. SNM International Series of Numerical Mathematics, 137 2001, ISBN 3-0348-9498-8 . doi : 10.1007 / 978-3-0348-8272-9
  • W. Haussmann, K. Jetter, M. Reimer, J. Stöckler (Eds.): Modern Developments in Multivariate Approximation : 5th International Conference, Witten-Bommerholz (Germany), September 2002, ISBN 3-7643-2195-4 .
  • W. Haussmann, B. Fuglede, M. Goldstein, WK Hayman, L. Rogge (Eds.): Approximation by Solutions of Partial Differential Equations. In: NATO ASI Series. (365), 1992, ISBN 94-010-5074-0 . doi : 10.1007 / 978-94-011-2436-2

Web links

Individual evidence

  1. ↑ H. Gonska, H.-B. Knoop: In Memoriam - Werner Haußmann (1941-2010). In: Results in Mathematics. 62 (2012), pp. 223-226. doi : 10.1007 / s00025-012-0277-3
personal data
SURNAME Haussmann, Werner
BRIEF DESCRIPTION German mathematician and university professor
DATE OF BIRTH November 12, 1941
PLACE OF BIRTH Nürtingen
DATE OF DEATH August 11, 2010
Place of death Mülheim an der Ruhr