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Symmetry Breaking for Representations of Rank One Orthogonal Groups II

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Cover of 'Symmetry Breaking for Representations of Rank One Orthogonal Groups II'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Review of Principal Series Representations
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    Chapter 3 Symmetry Breaking Operators for Principal Series Representations—General Theory
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    Chapter 4 Symmetry Breaking for Irreducible Representations with Infinitesimal Character ρ
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    Chapter 5 Regular Symmetry Breaking Operators
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    Chapter 6 Differential Symmetry Breaking Operators
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    Chapter 7 Minor Summation Formulæ Related to Exterior Tensor $$\begin{array}{lll}\bigwedge^i\;(\mathbb{C}^n)\end{array}$$
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    Chapter 8 The Knapp–Stein Intertwining Operators Revisited: Renormalization and K -spectrum
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    Chapter 9 Regular Symmetry Breaking Operators 𝔸 ˜ λ , ν , δ ε i , j $${\widetilde {\mathbb {A}}}_{{\lambda },{\nu },{\delta \varepsilon }}^{{i,j}}$$ from I δ ( i , λ ) to J ε ( j , ν )
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    Chapter 10 Symmetry Breaking Operators for Irreducible Representations with Infinitesimal Character ρ : Proof of Theorems4.1 and 4.2
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    Chapter 11 Application I: Some Conjectures by B. Gross and D. Prasad: Restrictions of Tempered Representations of SO ( n  + 1,  1) to SO ( n ,  1)
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    Chapter 12 Application II: Periods, Distinguished Representations and ( g , K ) $$(\mathfrak {g},K)$$ -cohomologies
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    Chapter 13 A Conjecture: Symmetry Breaking for Irreducible Representations with Regular Integral Infinitesimal Character
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    Chapter 14 Appendix I: Irreducible Representations of G  =  O ( n  + 1, 1), θ -stable Parameters, and Cohomological Induction
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    Chapter 15 Appendix II: Restriction to G ¯ = S O ( n + 1 , 1 ) $$\overline G=SO(n+1,1)$$
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    Chapter 16 Appendix III: A Translation Functor for G  =  O ( n  + 1, 1)
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