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Identities of Scalar-Valued Differential Operators \( \mathfrak{D}_\mathrm{l}^\mu \)

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2170)

Abstract

Uncorrected Proof In this chapter, we derive identities for the (scalar-valued) differential operators \( \mathfrak{D}_\mathrm{l}^\mu \)(see (1.2) for the definition) systematically from those for the Gegenbauer polynomials given in Appendix. We note that some of the formulæ here were previously known up to the restriction map Restxn=0, see [11, 16, 21, 24].

Keywords

  • Differential Operator
  • Matrix Component
  • Homogeneous Polynomial
  • Factorization Identity
  • Conformal Symmetry

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Kobayashi, T., Kubo, T., Pevzner, M. (2016). Identities of Scalar-Valued Differential Operators \( \mathfrak{D}_\mathrm{l}^\mu \) . 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_9

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