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Wavelet Transforms and Localization Operators

About Wavelet Transforms and Localization Operators

1 Introduction.- 2 Schatten-von Neumann Classes.- 3 Topological Groups.- 4 Haar Measures and Modular Functions.- 5 Unitary Representations.- 6 Square-Integrable Representations.- 7 Wavelet Transforms.- 8 A Sampling Theorem.- 9 Wavelet Constants.- 10 Adjoints.- 11 Compact Groups.- 12 Localization Operators.- 13 Sp Norm Inequalities, 1 ? p ? ?.- 14 Trace Class Norm Inequalities.- 15 Hilbert-Schmidt Localization Operators.- 16 Two-Wavelet Theory.- 17 The Weyl-Heisenberg Group.- 18 The Affine Group.- 19 Wavelet Multipliers.- 20 The Landau-Pollak-Slepian Operator.- 21 Products of Wavelet Multipliers.- 22 Products of Daubechies Operators.- 23 Gaussians.- 24 Group Actions and Homogeneous Spaces.- 25 A Unification.- 26 The Affine Group Action on ?.- References.

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  • Language:
  • English
  • ISBN:
  • 9783764367893
  • Binding:
  • Hardback
  • Pages:
  • 168
  • Published:
  • August 14, 2002
  • Dimensions:
  • 156x234x11 mm.
  • Weight:
  • 413 g.
Delivery: 2-3 weeks
Expected delivery: December 12, 2024

Description of Wavelet Transforms and Localization Operators

1 Introduction.- 2 Schatten-von Neumann Classes.- 3 Topological Groups.- 4 Haar Measures and Modular Functions.- 5 Unitary Representations.- 6 Square-Integrable Representations.- 7 Wavelet Transforms.- 8 A Sampling Theorem.- 9 Wavelet Constants.- 10 Adjoints.- 11 Compact Groups.- 12 Localization Operators.- 13 Sp Norm Inequalities, 1 ? p ? ?.- 14 Trace Class Norm Inequalities.- 15 Hilbert-Schmidt Localization Operators.- 16 Two-Wavelet Theory.- 17 The Weyl-Heisenberg Group.- 18 The Affine Group.- 19 Wavelet Multipliers.- 20 The Landau-Pollak-Slepian Operator.- 21 Products of Wavelet Multipliers.- 22 Products of Daubechies Operators.- 23 Gaussians.- 24 Group Actions and Homogeneous Spaces.- 25 A Unification.- 26 The Affine Group Action on ?.- References.

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