Weyl Transforms

M. W. Wong

ISBN 10: 1475771746 / ISBN 13: 9781475771749

Published by Springer New York Mrz 2013, 2013

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -A study of the functional analytic properties of Weyl transforms as bounded linear operators on $ L2ü(äBbb Rünü) $ in terms of the symbols of the transforms. Further, the boundedness, the compactness, the spectrum and the functional calculus of the Weyl transform are proved in detail, while new results and techniques on the boundedness and compactness of the Weyl transforms in terms of the symbols in $ Lrü(äBbb Rü2nü) $ and in terms of the Wigner transforms of Hermite functions are given. The roles of the Heisenberg group and the symplectic group in the study of the structure of the Weyl transform are explained, and the connections of the Weyl transform with quantization are highlighted throughout the book. Localisation operators, first studied as filters in signal analysis, are shown to be Weyl transforms with symbols expressed in terms of the admissible wavelets of the localisation operators. The results and methods mean this book is of interest to graduates and mathematicians working in Fourier analysis, operator theory, pseudo-differential operators and mathematical physics. 172 pp. Englisch.

Seller Inventory # 9781475771749

Bibliographic Details

• Title: Weyl Transforms
• Publisher: Springer New York Mrz 2013
• Publication Date: 2013
• Language: English
• ISBN 10: 1475771746
• ISBN 13: 9781475771749
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

This book studies properties of pseudo-differential operators arising in quantum mechanics as bounded linear operators on $ L^ä2ü(BbbR^änü) $. The results and methods should be of interest to graduate students and mathematicians working in Fourier analysis, operator theory, pseudo-differential operators and mathematical physics. Background materials are given in adequate detail to enable a graduate student to proceed rapidly from the very basics to the frontier of resarch in an area of operator theory.