Topics in Hyperplane Arrangements, Polytopes and Box-Splines

Preliminaries.- Polytopes.- Hyperplane Arrangements.- Fourier and Laplace Transforms.- Modules over the Weyl Algebra.- Differential and Difference Equations.- Approximation Theory I.- The Di?erentiable Case.- Splines.- RX as a D-Module.- The Function TX.- Cohomology.- Differential Equations.- The Discrete Case.- Integral Points in Polytopes.- The Partition Functions.- Toric Arrangements.- Cohomology of Toric Arrangements.- Polar Parts.- Approximation Theory.- Convolution by B(X).- Approximation by Splines.- Stationary Subdivisions.- The Wonderful Model.- Minimal Models.

Author: Corrado de Concini, Claudio Procesi
Publisher: Springer
Published: 08/30/2010
Pages: 406
Binding Type: Paperback
Weight: 1.27lbs
Size: 9.00h x 6.20w x 0.90d
ISBN: 9780387789620