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Harmonic Analysis on Exponential Solvable Lie Groups

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Cover of 'Harmonic Analysis on Exponential Solvable Lie Groups'

Table of Contents

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    Book Overview
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    Chapter 1 Preliminaries: Lie Groups and Lie Algebras
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    Chapter 2 Haar Measure and Group Algebra
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    Chapter 3 Induced Representations
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    Chapter 4 Four Exponential Solvable Lie Groups
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    Chapter 5 Orbit Method
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    Chapter 6 Kirillov Theory for Nilpotent Lie Groups
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    Chapter 7 Holomorphically Induced Representations ρ ( f , 𝔥 , G $$\rho (f,\mathfrak{h},G$$ ) for Exponential Solvable Lie Groups
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    Chapter 8 Irreducible Decomposition
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    Chapter 9 e $$\boldsymbol{e}$$ -Central Elements
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    Chapter 10 Frobenius Reciprocity
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    Chapter 11 Plancherel Formula
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    Chapter 12 Commutativity Conjecture: Induction Case
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    Chapter 13 Commutativity Conjecture: Restriction Case
Attention for Chapter 3: Induced Representations
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