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....

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: De Concini, Corrado (Autor), Procesi, Claudio (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2010.
Edición:1st ed. 2010.
Colección:Universitext,
Temas:
Mathematical analysis.
Geometry.
Algebra.
Algebras, Linear.
Differential equations.
Approximation theory.
Analysis.
Linear Algebra.
Differential Equations.
Approximations and Expansions.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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