Titlebook: Symmetry Breaking for Representations of Rank One Orthogonal Groups II; Toshiyuki Kobayashi,Birgit Speh Book 2018 Springer Nature Singapor

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https://doi.org/10.1007/978-981-13-2901-2Symmetry breaking operator; branching law; Gross-Prasad conjecture; automorphic form; conformal geometry

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Symmetry Breaking for Irreducible Representations with Infinitesimal Character ,In this chapter, we focus on symmetry breaking operators from . representations Π of . = .(. + 1, 1) with.-infinitesimal character.. to . representations . of the subgroup . = .(., 1) with .-infinitesimal character ..

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Regular Symmetry Breaking Operators,Let..(., .) be a principal series representation of . = .(. + 1, 1) realized in the Fréchet space ., and..(., .) that of . = .(., 1) realized in . as in Section ..

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Differential Symmetry Breaking Operators,In this chapter, we analyze the space . ofdifferential symmetry breaking operators between principal series representations of . = .(. + 1, 1) and . = .(., 1) for arbitrary . and . with[. : .]≠0.