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| Sponsor : University College Dublin (UCD) Title : PDE-Methods in Geometric Modeling Start Date / End Date : 17-MAY-10 / 16-NOV-11 |
| Ghergu, M. and Render, H.; (2012) 'Positivity for the clamped plate problem on the ellipse and strip'. Mathematische Nachrichten, . [Details] |
| E. Lundberg, H. Render ; (2011) 'The Khavinson-Shapiro Conjecture and Polynomial Decompositions'. J. Math. Analysis Appl, 376 :506-513. [Details] |
| Aldaz, JM,Render, H; (2010) 'Optimality of generalized Bernstein operators'. Journal of Approximation Theory, 162 :1407-1416. [DOI] [Details] |
| Render, H; (2010) 'Cauchy, Goursat and Dirichlet problems for holomorphic partial differential equations'. Comput. Meth. Function Theory, 10 :519-554. [Details] |
| J.M. Aldaz, O. Kounchev, H. Render; (2010) 'Bernstein operators for Extended Chebyshev systems'. Appl. Math. Comput, 162 :790-800. [Details] |
| O. Kounchev, H. Render ; (2010) 'The moment problem for pseudo-positive definite functionals. '. Arkiv for Matematik, 48 :97-120. [Details] | |||||||||
| J. M. Aldaz, O. Kounchev, H. Render; (2009) 'Shape preserving properties of generalized Bernstein operators on extended Chebyshev spaces'. Numer. Math, 114 :1-25. [Details] | |||||||||
| J.M. Aldaz, O. Kounchev, H. Render; (2009) 'Bernstein operators for exponential polynomials'. Constructive Approximation, 29 :345-367. [Details] | |||||||||
| O. Kounchev, H. Render; (2009) 'On the Bernstein operator of S. Morigi and M. Neamtu'. Results Math, 53 :311-322. [Details] | |||||||||
| P. Ebenfelt, H. Render ; (2008) 'The Goursat Problem for a Generalized Helmholtz Operator in the plane'. Journal D`Analyse Mathematique, 105 :149-168. [Details] | |||||||||
| P. Ebenfelt, H. Render ; (2008) 'On the mixed Cauchy problem with data on singular conics'. Journal of the London Mathematical Society, 78 :248-266. [Details] | |||||||||
| H. Render; (2008) 'Reproducing kernels for polyharmonic polynomials'. Archiv der Mathematik, 91 :136-144. [Details] | |||||||||
| H. Render; (2008) 'Real Bargmann spaces, Fischer decompositions and Sets of uniqueness for polyharmonic functions'. Duke Math. J, 142 :313-351. [Details] | |||||||||
| O. Kounchev, H. Render; (2008) 'Pade approximation for a multivariate Markov transform'. Journal of Computational and Applied Mathematics, 219 :416-430. [Details] | |||||||||
| A. Bejancu, O. Kounchev, H. Render ; (2007) 'Cardinal interpolation with periodic polysplines on strips'. Calcolo, 44 :203-218. [Details] | |||||||||
| O. Kounchev, H. Render; (2007) 'Convergence of polyharmonic splines on semi-regular grids Z x aZ^n for a to 0'. Numerical Algorithms, 44 :255-272. [Details] | |||||||||
| O. Kounchev, H. Render; (2007) 'Polyharmonicity and algebraic support of measures'. Hiroshima Math. J, 37 :25-44. [Details] | |||||||||
| J. M. Aldaz, O. Kounchev, H. Render ; (2007) 'On real-analytic recurrence relations for cardinal exponential B-splines'. Journal of Approximation Theory, 145 :253-265. [Details] | |||||||||
| O. Kounchev, H. Render; (2005) 'Polyharmonic splines on grids Z x aZ ^n and their limits'. Mathematics of Computation, 74 :1831-1841. [Details] | |||||||||
| O. Kounchev, H. Render; (2005) 'Cardinal Interpolation with polysplines on annuli0'. Journal of Approximation Theory, 137 :89-107. [Details] | |||||||||
| O. Kounchev, H. Render; (2004) 'The approximation order of polysplines'. Proceedings of the American Mathematical Society, 132 :455-461. [Details] | |||||||||
| H. Render, A. Todd; (2004) 'Continuous function spaces, (db)-spaces and strongly Hewitt spaces'. Topology and its Applications, 141 :171-186. [Details] | |||||||||
| H. Render, L. Rogge; (2004) 'Pointwise measurable functions'. Mathematica Scandinavica, 95 :305-319. [Details] | |||||||||
| H. Render; (2001) 'Sigma-homomorphisms from the Borel sigma-algebra into the Loeb sigma-algebra'. Annals of Pure and Applied Logic, 111 :15-21. [Details] | |||||||||
| A. Sauer, H. Render ; (2000) 'Multipliers on vector spaces of holomorphic functions'. Nagoya Math. J, 159 :167-178. [Details] | |||||||||
| R. Brueck, H. Render; (2000) 'Invertibility of holomorphic functions with respect to the Hadamard product0'. Complex Variables, 42 :207-223. [Details] | |||||||||
| J.M. Aldaz, H. Render; (2000) 'Borel measure extensions of measures defined on sub-sigma algebras'. Advances in Mathematics, 150 :233-263. [Details] | |||||||||
| A. Sauer, H. Render; (1999) 'Maximal domains of summability'. Analysis, 19 :207-216. [Details] | |||||||||
| H. Render; (1999) 'The maximal ideal space of H^oo (D ) with respect to the Hadamard product0'. Proceedings of the American Mathematical Society, 127 :1409-1411. [Details] | |||||||||
| S. Huang, H. Render, M. Wolff; (1999) 'On the convergence of sequences of operators and the convergence of the sequence of their spectra'. Mathematica Scandinavica, 85 :71-78. [Details] | |||||||||
| H. Render; (1999) 'The property (db) on continuous function spaces'. Topology and its Applications, 92 :101-106. [Details] | |||||||||
| H. Render; (1998) 'Generalized uniform spaces and applications to function spaces'. Studia Scient. Math. Hungarica, 34 :429-443. [Details] | |||||||||
| H. Render; (1997) 'Topological algebras with an orthogonal total sequence'. Colloquium Math, 72 :215-221. [Details] | |||||||||
| H. Render; (1997) 'Hadamard's multiplication theorem -- Recent developments'. Colloquium Math, 74 :79-92. [Details] | |||||||||
| A. Sauer, H. Render ; (1996) 'Invariance properties of homomorphisms on algebras of holomorphic functions with the Hadamard product'. Studia Mathematica, 121 :53-65. [Details] | |||||||||
| A. Sauer, H. Render; (1996) 'Algebras of holomorphic functions with the Hadamard product'. Studia Mathematica, 118 :77-100. [Details] | |||||||||
| H. Stroetmann, H. Render; (1996) 'Liapunov`s convexity theorem for topological measures'. Archiv der Mathematik, 67 :331-336. [Details] | |||||||||
| H. Render; (1996) 'Hausdorff completions of quasi-uniform spaces'. Czechoslovak Mathematical Journal, 46 :309-316. [Details] | |||||||||
| H. Render; (1996) 'A nonstandard approach to realcompactness with applications to theequation v( X x Y ) = v(X) x v(Y)'. Topology and its Applications, 68 :205-239. [Details] | |||||||||
| H. Render; (1995) 'Countably determined sets and a conjecture of C.W. Henson'. Mathematische Annalen, 303 :307-324. [Details] | |||||||||
| H. Render; (1995) 'Spaces with a Borel-complete Stone-Cech compactification'. Czechoslovak Mathematical Journal, 45 :325-326. [Details] | |||||||||
| H. Render; (1995) 'Covering functions and the inverse standard part map'. Mathematica Japonica, 42 :301-318. [Details] | |||||||||
| H. Render; (1995) 'Nonstandard methods of completing quasi-uniform spaces'. Topology and its Applications, 62 :101-125. [Details] | |||||||||
| H. Render; (1993) 'Nonstandard topology on function spaces with applications to hyperspaces '. Transactions of the American Mathematical Society, 336 :101-119. [Details] | |||||||||
| H. Render; (1993) 'Pushing down Loeb measures'. Mathematica Scandinavica, 72 :61-84. [Details] | |||||||||
| H. Render; (1993) 'On the product of k- and l-spaces'. Studia Scient. Math. Hungarica, 28 :453-455. [Details] | |||||||||
| H. Render; (1992) 'Lattice structures of ordered Banach algebras'. Illinois Journal of Mathematics, 36 :238-250. [Details] | |||||||||
| H. Render; (1991) 'Local compactness of function spaces'. Archiv der Mathematik, 56 :286-287. [Details] | |||||||||
| H. Render; (1991) 'A topological approach to multi-valued Ascoli Theory'. Rendiconti Del Circolo Matematico Di Palermo, Series Ii, 40 :357-370. [Details] | |||||||||
| H. Render; (1990) 'Extreme positive operators on involution algebras '. Colloquium Math, 58 :81-96. [Details] | |||||||||
| H. Render; (1989) 'A characterization of C*-algebras via positive operators'. Archiv der Mathematik, 52 :379-383. [Details] | |||||||||
| H. Render; (1989) 'An order theoretic approach to involutive algebras'. Studia Mathematica, 92 :177-186. [Details] | |||||||||
| H. Render; (1989) 'The radical of a Banach algebra with a closed cone'. Rendiconti Del Circolo Matematico Di Palermo, 38 :152-154. [Details] | |||||||||
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| O. Kounchev, H. Render; (2007) New methods in Geometric Modelling and Controlling Exponential Processes Nato Advanced Research Workshop: Scientific Support for the Decision Making in the Security Sector, Velingrad, Bulgaria , 21-OCT-06 - 25-OCT-06 , pp.144-179 [Details] |
| A. Bejancu, O. Kounchev, H. Render; (2003) Cardinal Interpolation with biharmonic polysplines on strips Curve and surface fitting (Saint-Malo, 2002) Mod. Methods Math., Nashboro Press, Brentwood, TN, , pp.41-58 [Details] |
| O. Kounchev, H. Render; (2002) Wavelet Analysis of cardinal L-splines and Construction of multivariate Prewavelets Approximation theory, X (St. Louis, MO, 2001) Innov. Appl. Math., Vanderbilt Univ. Press, Nashville, TN, , pp.333-353 [Details] |
| O. Kounchev, H. Render; (2001) Symmetry properties for cardinal L-splines with applications to polysplines Trends in approximation theory (Nashville, TN, 2000) Innov. Appl. Math., Vanderbilt Univ. Press, Nashville, TN, , pp.191-202 [Details] |
| S. Ng, H. Render; (2001) The Puritz order and its relationship to the Rudin-Keisler order Reuniting the antipodes---constructive and nonstandard views of the continuum (Venice, 1999) Synthese Lib., 306, Kluwer Acad. Publ., Dordrecht, , pp.157-166 [Details] |
| H. Render; (1994) Nonstandard polynomials in several variables . In: S. Albeverio, W.A.J. Luxemburg, M. Wolff eds. International Conference on Applications of Nonstandard Analysis to Analysis, Functional Analysis and Probability Theory, Blaubeuren, 19.7.--25.7.1992 Advances in Analysis, Probability and Mathematical Physics - Contributions of Nonstandard Analysis, [Details] | |||||||||
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| Year: 1999. Title: Fellowship of the Alexander von Humboldt Foundation (Feodor Lynen) |
| Year: 1998. Title: Prize for Excellence Teaching |
| Year: 1991. Title: Postdoctoral Fellowship of DFG |
| Year: 1990. Title: Ph.D. Extraordinary Prize |
| Year: 1983. Title: Member of the ''Studienstiftung des Deutschen Volkes'' |
| Association: American Mathematical Society, Function/Role: Member |
| Association: Deutsche Mathematiker Vereinigung, Function/Role: Member |
| H. Render; (2009) Cauchy and Goursat problems for holomorphic PDE's. [Plenary Lecture], Computational Methods and Function Theory, Ankara, Turkey , 08-JUN-09 - 12-JUN-09. |
| H. Render; (2008) Invited participation. [Other], Workshop "Holomorphic PDE's, small divisors and summability", Luminy, Marseille, France , 27-JAN-08 - 02-FEB-08. |
| H. Render; (2007) Bernstein bases and operators for exponential polynomials. [Invited Lecture], Workshop "Approximation and Wavelets", Koenigswinter (bei Bonn), Germany , 01-OCT-07 - 04-OCT-07. |
| H. Render; (2007) Funciones poliarmonicas y una conjetura de W. Haymany y B. Korenblum. [Invited Lecture], X Encuentros de Analisis Real y Complejo, Palma de Mallorca, Spain , 10-MAY-07 - 13-MAY-07. |
| H. Render; (2007) Pade approximation for a multivariate Markov transform. [Invited Lecture], Congreso "Special Functions, Information Theory and Mathematical Physics", Granada, Spain , 17-SEP-07 - 19-SEP-07. |
| H. Render; (2006) Real Bargmann spaces, Fischer pairs and Sets of Uniqueness for Polyharmonic Functions. [Invited Lecture], Third International Conference on Complex Analysis and Dynamical Systems, Nahariya, Israel , 02-JAN-06 - 06-JAN-06. | |||||||||
| H. Render; (2006) Constructive Methods in Geometric Modeling. [Invited Lecture], Advanced Nato Research Workshop: Scientific Support for the Decison Making in the Security Sector, Velingrad, Bulgaria , 21-OCT-06 - 25-OCT-06. | |||||||||
| H. Render; (2006) Entire solutions for the Dirichlet problem and a characterization of ellipsoids. [Poster Presentation], Recent Advances in Nonlinear Partial Differential Equations and Applications,Conference in honor of P. Lax and L. Nirenberg, Toledo, Spain , 07-JUN-06 - 10-JUN-06. | |||||||||
| H. Render; (2005) Extended cubature formulae of Gauss-Jacobi type for a certain class of measures. [Invited Lecture], 6th International Conference on Multivariate Approximation, Haus Bommerholz, Dortmund, Germany , 25-SEP-05 - 01-OCT-05. | |||||||||
| H. Render; (2005) Optimization of homogeneous polynomials on the simplex and the sphere. [Invited Lecture], 10th Workshop on Well-posedness of Optimzation Problems and Related Topics, Borovets, Bulgaria , 05-SEP-05 - 09-SEP-05. | |||||||||
| H. Render; (2004) Polysplines -- A PDE-approach to Multivariate Spline Analysis. [Invited Lecture], Second International Conference on Computational Harmonic Analysis, Vanderbilt University, Tennessee, USA , 24-MAY-04 - 30-MAY-04. | |||||||||
| H. Render; (2004) PDE-methods in Multivariate Spline Analysis. [Invited Lecture], Generalized Functions 2004, Topics in PDE, Harmonic Analysis and Mathematical Physics, Novi Sad, Serbia , 22-SEP-04 - 28-SEP-04. | |||||||||
| H. Render; (2003) Polysplines auf Streifengebieten. [Invited Lecture], 13. Rhein-Ruhr-Workshop ueber Angewandte Analysis, Approximationstheorie, CAGD und Numerische Mathematik, Burg Gemen, Germany , 14-FEB-03 - 15-FEB-03. | |||||||||
| H. Render; (2003) Interpolation with polyharmonic cardinal splines. [Invited Lecture], International Congress MASSEE 2003, Borovets, Bulgaria , 15-SEP-03 - 21-SEP-03. | |||||||||
| H. Render; (2002) Polysplines -- A new method in CAGD. [Invited Lecture], Fifth International Conference on Curves and Surfaces, Saint-Malo, France , 27-JUN-02 - 03-JUL-02. | |||||||||
| H. Render; (2001) Multiresolutional Analysis via cardinal Polysplines. [Invited Lecture], International Conference of Complex Analysis and Dynamical Systems, ORT Braude College, Karmiel, Israel , 19-JUN-01 - 22-JUN-01. | |||||||||
| H. Render; (2001) Rotation invariant Multiresolutional Analysis and cardinal Polysplines. [Invited Lecture], International Conference of Computational Harmonic Analysis, Hongkong , 04-JUN-01 - 08-JUN-01. | |||||||||
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| Committee : Programme Science Board |
| Employer: Universidad de La Rioja (Spain) Position: Investigador de Ramon y Cajal |
| Employer: University of Duisburg (Germany) Position: Assistant Professor (C2 Position) |
| Employer: University of Bonn (Germany) Position: Assistant Professor |
| Employer: Bulgarian Academy of Sciences (Bulgaria) Position: Visiting Professor |
| Employer: University of Duisburg (Germany) Position: Research Assistant (C1-position) |
| Year 1989 Institution: University of Duisburg (Germany) Qualification: Dr rer nat Subject: Mathematics |
| Year 1994 Institution: Qualification: HABILITATION Subject: |
| Year 1986 Institution: University of Muenster (Germany) Qualification: Diplom Subject: Mathematics |
| Year 1989 Institution: Qualification: PhD Subject: |
| Year 1986 Institution: University of Munster (WWilhe), Germany Qualification: Dip Mathematiker Subject: |
| German: |
| English: |
| Bulgarian: |
| Spanish: |
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| 201100 MATH10200 Mathematics: Matrix Algebra |
| 201100 MATH40320 Mathematics: Wavelet Analysis |
| 201100 MATH40210 Mathematics: Quantitative Methods |
| 201100 MATH10060 Mathematics: Diff & Integral Calc |
| 201100 MST30030 Mathematical Studies: Financial Mathematics |
| 201000 MATH40210 Mathematics: Quantitative Methods | |||||||||
| 201000 MATH10060 Mathematics: Diff & Integral Calc | |||||||||
| 201000 MST30030 Mathematical Studies: Financial Mathematics | |||||||||
| 201000 MATH40320 Mathematics: Wavelet Analysis | |||||||||
| 200900 MATH10060 Mathematics: Diff & Integral Calc | |||||||||
| 201000 MATH10200 Mathematics: Matrix Algebra | |||||||||
| 200900 MATH40210 Mathematics: Quantitative Methods | |||||||||
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