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.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-981-10-2657-7_9
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-2656-0
Online ISBN: 978-981-10-2657-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)
