Topics in Hyperplane Arrangements, Polytopes and Box-Splines

Authors:

ISBN: 978-0-387-78962-0 (Print) 978-0-387-78963-7 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages i-xx

  2. Preliminaries

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-23

      Polytopes

    3. No Access

      Book Chapter

      Pages 25-68

      Hyperplane Arrangements

    4. No Access

      Book Chapter

      Pages 69-75

      Fourier and Laplace Transforms

    5. No Access

      Book Chapter

      Pages 77-83

      Modules over the Weyl Algebra

    6. No Access

      Book Chapter

      Pages 85-102

      Differential and Difference Equations

    7. No Access

      Book Chapter

      Pages 103-109

      Approximation Theory I

  3. The Di?erentiable Case

    1. Front Matter

      Pages 111-111

    2. No Access

      Book Chapter

      Pages 113-126

      Splines

    3. No Access

      Book Chapter

      Pages 127-139

      R X as a D-Module

    4. No Access

      Book Chapter

      Pages 141-154

      The Function T X

    5. No Access

      Book Chapter

      Pages 155-162

      Cohomology

    6. No Access

      Book Chapter

      Pages 163-188

      Differential Equations

  4. The Discrete Case

    1. Front Matter

      Pages 189-189

    2. No Access

      Book Chapter

      Pages 191-206

      Integral Points in Polytopes

    3. No Access

      Book Chapter

      Pages 207-240

      The Partition Functions

    4. No Access

      Book Chapter

      Pages 241-267

      Toric Arrangements

    5. No Access

      Book Chapter

      Pages 269-275

      Cohomology of Toric Arrangements

    6. No Access

      Book Chapter

      Pages 277-297

      Polar Parts

  5. Approximation Theory

    1. Front Matter

      Pages 299-299

    2. No Access

      Book Chapter

      Pages 301-309

      Convolution by B(X)

    3. No Access

      Book Chapter

      Pages 311-331

      Approximation by Splines

    4. No Access

      Book Chapter

      Pages 333-343

      Stationary Subdivisions

  6. The Wonderful Model

    1. Front Matter

      Pages 345-345

    2. No Access

      Book Chapter

      Pages 347-371

      Minimal Models

  7. Back Matter

    Pages 373-384