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Conformal Symmetry Breaking Operators for Differential Forms on Spheres

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Cover of 'Conformal Symmetry Breaking Operators for Differential Forms on Spheres'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Symmetry Breaking Operators and Principal Series Representations of G = O(n+1, 1)
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    Chapter 3 F-method for Matrix-Valued Differential Operators
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    Chapter 4 Matrix-Valued F-method for O(n+1, 1)
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    Chapter 5 Application of Finite-Dimensional Representation Theory
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    Chapter 6 F-system for Symmetry Breaking Operators ( j = i–1, i case)
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    Chapter 7 F-system for Symmetry Breaking Operators ( j = i–2, i+1 case)
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    Chapter 8 Basic Operators in Differential Geometry and Conformal Covariance
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    Chapter 9 Identities of Scalar-Valued Differential Operators $$ \mathfrak{D}_\mathrm{l}^\mu $$
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    Chapter 10 Construction of Differential Symmetry Breaking Operators
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    Chapter 11 Solutions to Problems A and B for (S n , S n–1 )
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    Chapter 12 Intertwining Operators
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    Chapter 13 Matrix-Valued Factorization Identities
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    Chapter 14 Appendix: Gegenbauer Polynomials
Attention for Chapter 3: F-method for Matrix-Valued Differential Operators
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