Weyl transforms

Table of Contents

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   Book Overview
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   Chapter 1 Prerequisite Topics in Fourier Analysis
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   Chapter 2 The Fourier-Wigner Transform
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   Chapter 3 The Wigner Transform
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   Chapter 4 The Weyl Transform
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   Chapter 5 Hilbert-Schmidt Operators on L 2 (ℝ n )
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   Chapter 6 The Tensor Product in L 2 (ℝ n )
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   Chapter 7 H *-Algebras and the Weyl Calculus
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   Chapter 8 The Heisenberg Group
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    Chapter 9 The Twisted Convolution
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    Chapter 10 The Riesz-Thorin Theorem
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    Chapter 11 Weyl Transforms with Symbols in L r (ℝ 2 n ), 1 ≤ r ≤ 2
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    Chapter 12 Weyl Transforms with Symbols in L ∞ (ℝ 2 n )
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    Chapter 13 Weyl Transforms with Symbols in L r (ℝ 2 n ), 2 < r < ∞
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    Chapter 14 Compact Weyl Transforms
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    Chapter 15 Localization Operators
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    Chapter 16 A Fourier Transform
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    Chapter 17 Compact Localization Operators
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    Chapter 18 Hermite Polynomials
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    Chapter 19 Hermite Functions
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    Chapter 20 Laguerre Polynomials
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    Chapter 21 Hermite Functions on ℂ
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    Chapter 22 Vector Fields on ℂ
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    Chapter 23 Laguerre Formulas for Hermite Functions on ℂ
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    Chapter 24 Weyl Transforms on L 2 (ℝ) with Radial Symbols
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    Chapter 25 Another Fourier Transform
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    Chapter 26 A Class of Compact Weyl Transforms on L 2 (ℝ)
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    Chapter 27 A Class of Bounded Weyl Transforms on L 2 (ℝ)
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    Chapter 28 A Weyl Transform with Symbol in S ’(ℝ 2 )
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    Chapter 29 The Symplectic Group
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    Chapter 30 Symplectic Invariance of Weyl Transforms