Modern Developments in Multivariate Approximation: 5th International Conference, Witten-Bommerholz (Germany), September 2002

Front Matter ....Pages 1-20
 Multivariate Approximation Methods for the Pricing of Catastrophe—Linked Bonds  (Hansjörg Albrecher, Jürgen Hartinger, Robert F. Tichy)....Pages 21-39
 Note on a Generalized Invariance Principle and its Relevance for Cap Discrepancy and Energy  (Johann S. Brauchart)....Pages 41-55
 On Properties of Nonstationary Divided Difference Vector Subdivision Schemes  (Maria Charina, Costanza Conti)....Pages 57-69
 Multivariate Balanced Vector-Valued Refinable Functions  (Charles K. Chui, Qingtang Jiang)....Pages 71-102
 Transfinite Interpolation by Blending Functions, Best One-Sided L1-Approximation, and Cubature Formulae  (Dimiter P. Dryanov)....Pages 103-123
 Refining Oscillatory Signals by Non—Stationary Subdivision Schemes  (Nira Dyn, David LevinAriel Luzzatto)....Pages 125-142
 Asymptotic Error Expansions for Schoenberg Type Operators  (Karol Dziedziul, Kurt Jetter)....Pages 143-152
 On the Approximation Order and Numerical Stability of Local Lagrange Interpolation by Polyharmonic Splines  (Armin Iske)....Pages 153-165
 Isolated Singularities of Harmonic Functions  (Lavi Karp, Harold S. Shapiro)....Pages 167-174
 Two Applications of Adaptive Wavelet Methods  (Angela Kunoth)....Pages 175-201
 Almost Interpolation and Radial Basis Functions  (Alain Le Méhauté)....Pages 203-214
 Fundamental Splines on Triangulations  (GÜnther NÜrnberger, Frank Zeilfelder)....Pages 215-233
 Integer DCT—II by Lifting Steps  (Gerlind Plonka, Manfred Tasche)....Pages 235-252
 Approximation of Density Functions and Reconstruction of the Approximant  (Manfred Reimer)....Pages 253-261
 On Some Multivariate Quadratic Spline Quasi—Interpolants on Bounded Domains  (Paul Sablonnière)....Pages 263-278
 How to Generate Smoother Refinable Functions from Given Ones  (Tomas Sauer)....Pages 279-293
 Reconstructing Multivariate Functions from Large Data Sets  (Holger Wendland)....Pages 295-308
 Three Scale Versus Matrix Refinement Equations  (Georg Zimmermann)....Pages 309-319