Wavelet Transforms and Localization Operators

M. W. Wong

ISBN 10: 376436789X / ISBN 13: 9783764367893

Editore: Springer, Basel, Birkhäuser Basel, 2002

Riguardo questo articolo

Druck auf Anfrage Neuware - Printed after ordering - The focus of this book is on the Schatten-von Neumann properties and the product formulas of localization operators defined in terms of infinite-dimensional and square-integrable representations of locally compact and Hausdorff groups. Wavelet transforms, which are the building blocks of localization operators, are also studied in their own right. Daubechies operators on the Weyl-Heisenberg group, localization operators on the affine group, and wavelet multipliers on the Euclidean space are investigated in detail. The study is carried out in the perspective of pseudo-differential operators, quantization and signal analysis. Although the emphasis is put on locally compact and Hausdorff groups, results in the context of homogeneous spaces are given in order to unify the various localization operators into a single theory. Several new spectral results on pseudo-differential operators in the setting of localization operators are presented for the first time. The book is accessible to graduate students and mathematicians who have a basic knowledge of measure theory and functional analysis and wish to have a fast track to the frontier of research at the interface of pseudo-differential operators, quantization and signal analysis.

Codice articolo 9783764367893

Dati bibliografici

• Titolo: Wavelet Transforms and Localization Operators
• Editore: Springer, Basel, Birkhäuser Basel
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 376436789X
• ISBN 13: 9783764367893
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 240 L x 192 A x 36 P (millimetri) 240 millimetri di larghezza per 192 millimetri di altezza per 36 millimetri di profondità
• Peso: 368 grammi

Descrizione articolo

Riassunto

The focus of this book is on the Schatten-von Neumann properties and the product formulas of localization operators defined in terms of infinite-dimensional and square-integrable representations of locally compact and Hausdorff groups. Wavelet transforms, which are the building blocks of localization operators, are also studied in their own right. Daubechies operators on the Weyl-Heisenberg group, localization operators on the affine group, and wavelet multipliers on the Euclidean space are investigated in detail. The study is carried out in the perspective of pseudo-differential operators, quantization and signal analysis. Although the emphasis is put on locally compact and Hausdorff groups, results in the context of homogeneous spaces are given in order to unify the various localization operators into a single theory. Several new spectral results on pseudo-differential operators in the setting of localization operators are presented for the first time. The book is accessible to graduate students and mathematicians who have a basic knowledge of measure theory and functional analysis and wish to have a fast track to the frontier of research at the interface of pseudo-differential operators, quantization and signal analysis.