Weyl Transforms

• Κύριος συγγραφέας: Wong, M. W. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 1998.
• Σειρά: Universitext
• Θέματα: Mathematics.; Topological groups.; Lie groups.; Topological Groups, Lie Groups.

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...

Πίνακας περιεχομένων:

• Prerequisite Topics in Fourier Analysis
• The Fourier-Wigner Transform
• The Wigner Transform
• The Weyl Transform
• Hilbert-Schmidt Operators on L2(?n)
• The Tensor Product in L2(?n)
• H*-Algebras and the Weyl Calculus
• The Heisenberg Group
• The Twisted Convolution
• The Riesz-Thorin Theorem
• Weyl Transforms with Symbols in Lr(?2n), 1 ? r ? 2
• Weyl Transforms with Symbols in L?(?2n)
• Weyl Transforms with Symbols in Lr(?2n), 2 r < ?
• Compact Weyl Transforms
• Localization Operators
• A Fourier Transform
• Compact Localization Operators
• Hermite Polynomials
• Hermite Functions
• Laguerre Polynomials
• Hermite Functions on ?
• Vector Fields on ?
• Laguerre Formulas for Hermite Functions on ?
• Weyl Transforms on L2(?) with Radial Symbols
• Another Fourier Transform
• A Class of Compact Weyl Transforms on L2(?)
• A Class of Bounded Weyl Transforms on L2(?)
• A Weyl Transform with Symbol in S’(?2)
• The Symplectic Group
• Symplectic Invariance of Weyl Transforms.