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ADCM
2010
59views more  ADCM 2010»
13 years 6 months ago
Sampling inequalities for infinitely smooth functions, with applications to interpolation and machine learning
Sampling inequalities give a precise formulation of the fact that a differentiable function cannot attain large values, if its derivatives are bounded and if it is small on a suff...
Christian Rieger, Barbara Zwicknagl
ADCM
2010
92views more  ADCM 2010»
13 years 6 months ago
Construction of infinite unimodular sequences with zero autocorrelation
Unimodular waveforms x are constructed on the integers with the property that the autocorrelation of x is one at the origin and zero elsewhere. There are three different constructi...
John J. Benedetto, Somantika Datta
ADCM
2010
100views more  ADCM 2010»
13 years 6 months ago
Quasi-interpolatory refinable functions and construction of biorthogonal wavelet systems
We present a new family of compactly supported and symmetric biorthogonal wavelet systems, which extend and unify the Biorthogonal Coifman wavelet system. The refinement mask has ...
Hong Oh Kim, Rae Young Kim, Yeon Ju Lee, Jungho Yo...
ADCM
2010
129views more  ADCM 2010»
13 years 6 months ago
Construction of positive definite cubature formulae and approximation of functions via Voronoi tessellations
Let Rd be a compact convex set of positive measure. In a recent paper, we established a definiteness theory for cubature formulae of order two on . Here we study extremal propert...
Allal Guessab, Gerhard Schmeisser
ADCM
2010
147views more  ADCM 2010»
13 years 6 months ago
Edge offset meshes in Laguerre geometry
A mesh M with planar faces is called an edge offset (EO) mesh if there exists a combinatorially equivalent mesh M d such that corresponding edges of M and M d lie on parallel lines...
Helmut Pottmann, Philipp Grohs, Bernhard Blaschitz