Weyl Transforms

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ISBN: 978-0-387-98414-8 (Print) 978-0-387-22778-8 (Online)

Table of contents (30 chapters)

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  1. No Access

    Book Chapter

    Pages 1-8

    Prerequisite Topics in Fourier Analysis

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    Book Chapter

    Pages 9-11

    The Fourier-Wigner Transform

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    Book Chapter

    Pages 13-17

    The Wigner Transform

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    Book Chapter

    Pages 19-24

    The Weyl Transform

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    Book Chapter

    Pages 25-27

    Hilbert-Schmidt Operators on L 2(ℝn)

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    Book Chapter

    Pages 29-32

    The Tensor Product in L 2(ℝn)

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    Book Chapter

    Pages 33-35

    H*-Algebras and the Weyl Calculus

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    Book Chapter

    Pages 37-42

    The Heisenberg Group

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    Book Chapter

    Pages 43-46

    The Twisted Convolution

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    Book Chapter

    Pages 47-53

    The Riesz-Thorin Theorem

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    Book Chapter

    Pages 55-58

    Weyl Transforms with Symbols in L r (ℝ2n ), 1 ≤ r ≤ 2

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    Book Chapter

    Pages 59-62

    Weyl Transforms with Symbols in L (ℝ2n )

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    Book Chapter

    Pages 63-69

    Weyl Transforms with Symbols in L r (ℝ2n ), 2 < r < ∞

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    Book Chapter

    Pages 71-74

    Compact Weyl Transforms

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    Book Chapter

    Pages 75-78

    Localization Operators

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    Book Chapter

    Pages 79-81

    A Fourier Transform

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    Book Chapter

    Pages 83-85

    Compact Localization Operators

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    Book Chapter

    Pages 87-91

    Hermite Polynomials

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    Book Chapter

    Pages 93-94

    Hermite Functions

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    Book Chapter

    Pages 95-99

    Laguerre Polynomials

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