Appendix: Gegenbauer Polynomials

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• 刊名：Lecture Notes in Mathematics
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：2170
• 期：1
• 页码：173-184
• 全文大小：222 KB
• 作者单位：Toshiyuki Kobayashi (15)
  Toshihisa Kubo (16)
  Michael Pevzner (17)
  
  15. Kavli IPMU and Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo, Japan
  16. Ryukoku University, Kyoto, Japan
  17. Mathematics Laboratory, FR 3399 CNRS, University of Reims-Champagne-Ardenne, Reims, France
  
• 丛书名：Conformal Symmetry Breaking Operators for Differential Forms on Spheres
• ISBN：978-981-10-2657-7
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Probability Theory and Stochastic Processes
  Dynamical Systems and Ergodic Theory
  Mathematical Biology
  Partial Differential Equations
  Functional Analysis
  Abstract Harmonic Analysis
  Group Theory and Generalizations
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1617-9692
• 卷排序：2170

文摘

This chapter collects some properties of the Gegenbauer polynomials that we use throughout this work, in particular, in the proof of the explicit formulæ for differential symmetry breaking operators (Theorems 1.5, 1.6, 1.7, and 1.8) and the factorization identities for special parameters (Theorems 13.1, 13.2, and 13.3).