Topics in hyperplane arrangements, polytopes and box-splines

著者

• De Concini, Corrado
• Procesi, Claudio

書誌事項

Topics in hyperplane arrangements, polytopes and box-splines

Corrado De Concini, Claudio Procesi

（Universitext）

Springer, c2011

注記

Includes bibliographical references (p. [373]-379) and index

内容説明・目次

内容説明

Topics in Hyperplane Arrangements, Polytopes and Box-Splines brings together many areas of research that focus on methods to compute the number of integral points in suitable families or variable polytopes. The topics introduced expand upon differential and difference equations, approximation theory, cohomology, and module theory. This book, written by two distinguished authors, engages a broad audience by proving the a strong foudation. This book may be used in the classroom setting as well as a reference for researchers.

目次

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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詳細情報

• NII書誌ID(NCID): BB03438188
• ISBN:
  • 9780387789620
• LCCN: 2010934230
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York, N.Y.
• ページ数/冊数: xx, 384 p.
• 大きさ: 24 cm
• 分類:
  • SG : 510
• 親書誌ID:
  • BA00021004