Abstract
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).
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Kobayashi, T., Kubo, T., Pevzner, M. (2016). Appendix: Gegenbauer Polynomials. In: Conformal Symmetry Breaking Operators for Differential Forms on Spheres. Lecture Notes in Mathematics, vol 2170. Springer, Singapore. https://doi.org/10.1007/978-981-10-2657-7_14
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DOI: https://doi.org/10.1007/978-981-10-2657-7_14
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