» » Weyl Transforms (Universitext)

Weyl Transforms (Universitext) download epub

by M.W. Wong


Epub Book: 1123 kb. | Fb2 Book: 1768 kb.

Weyl Transforms (Universitext). The functional analytic properties of Weyl transforms as bounded linear operators on $ L^{2}({Bbb R}^{n}) $ are studied in terms of the symbols of the transforms.

Weyl Transforms (Universitext). The boundedness, the compactness, the spectrum and the functional calculus of the Weyl transform are proved in detail. New results and techniques on the boundedness and compactness of the Weyl transforms in terms of the symbols in $ L^{r}({Bbb R}^{2n}) $ and in terms of the Wigner transforms of Hermite functions are given.

price for USA in USD (gross). This book is an outgrowth of courses given by me for graduate students at York University in the past ten years. The actual writing of the book in this form was carried out at York University, Peking University, the Academia Sinica in Beijing, the University of California at Irvine, Osaka University, and the University of Delaware. The idea of writing this book was ?rst conceived in the summer of 1989, and the protracted period of gestation was due to my daily duties as a professor at York University.

See all supported devices. Similar books to Weyl Transforms (Universitext). Discover new, innovative, and trending products from emerging brands Watch Now. Product description. 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.

A study of the functional analytic properties of Weyl transforms as bounded linear operators on $ L2?(?Bbb R?n?) $ in terms of the symbols of the transforms

Weyl Transforms (Universitext). ISBN 9780387984148 (978-0-387-98414-8) Hardcover, Springer, 1998. Find signed collectible books: 'Weyl Transforms (Universitext)'. Founded in 1997, BookFinder.

We prove that the product of two Weyl transforms is again a Weyl transform and an explicit formula for the symbol of the product of two Weyl transforms is given.

Characterizations of Self-Adjointness, Normality, Invertibility, and Unitarity of Pseudo-Differential Operators on Compact and Hausdorff Groups. We prove that the product of two Weyl transforms is again a Weyl transform and an explicit formula for the symbol of the product of two Weyl transforms is given. This result gives a necessary and sufficient condition for the Weyl transform to be in the trace class.

In theoretical physics, the Weyl transformation, named after Hermann Weyl, is a local rescaling of the metric tensor: which produces another metric in the same conformal class. A theory or an expression invariant under this transformation is called conformally invariant, or is said to possess Weyl invariance or Weyl symmetry. The Weyl symmetry is an important symmetry in conformal field theory. It is, for example, a symmetry of the Polyakov action.

Discover Book Depository's huge selection of M W Wong books online. Free delivery worldwide on over 20 million titles. Notify me. Weyl Transforms.

Princeton University Press, 2003. Wong, M. Zhang, . .Trace class norm inequalities for wavelet multipliers. Wavelet Transforms and Localization Operators. Discrete Fourier Analysis.Traces of two-wavelet multipliers. Theory, 42 (2002), 498–503.

This book is a natural sequel to the book on pseudo-differential operators and the book on Weyl transforms .

This book is a natural sequel to the book on pseudo-differential operators and the book on Weyl transforms by the author. Описание: This book discusses the state of the art of hypercomplex Fourier and Wavelet Transformations, both from the side of theoretical investigations and in the context of applications. Draws attention to matrix isomorphisms for hypercomplex algebras.

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.
Weyl Transforms (Universitext) download epub
Mathematics
Author: M.W. Wong
ISBN: 0387984143
Category: Science & Math
Subcategory: Mathematics
Language: English
Publisher: Springer; 1998 edition (August 21, 1998)
Pages: 172 pages