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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2234))

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Abstract

In this chapter, we analyze the space

$$\displaystyle {\operatorname {Diff}}_{G'} (I_{\delta }(V,\lambda )|{ }_{G'},J_{\varepsilon }(W,\nu )) $$

of differential symmetry breaking operators between principal series representations of G = O(n + 1, 1) and G′ = O(n, 1) for arbitrary \(V \in \widehat {O(n)}\) and \(W \in \widehat {O(n-1)}\) with [V : W]≠0.

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Kobayashi, T., Speh, B. (2018). Differential Symmetry Breaking Operators. In: Symmetry Breaking for Representations of Rank One Orthogonal Groups II. Lecture Notes in Mathematics, vol 2234. Springer, Singapore. https://doi.org/10.1007/978-981-13-2901-2_6

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