Topics in Hyperplane Arrangements, Polytopes and Box-Splines
Several mathematical areas that have been developed independently over the last 30 years are brought together revolving around the computation of the number of integral points in suitable families of polytopes. The problem is formulated here in terms of partition functions and multivariate splines....
Tallennettuna:
| Päätekijät: | , |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Painos: | 1. |
| Sarja: | Universitext
|
| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Topics in hyperplane arrangements, polytopes and box-splines, Corrado De Concini, Claudio Procesi, 2010, New York, Springer, 1 vol. (XX-384 p.), Universitext, 978-0-387-78962-0 • Topics in Hyperplane Arrangements, Polytopes and Box-Splines, Texte imprimé, 9780387570563 |
Sisällysluettelo:
- 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.
- 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