Author | Wong, M. W. author |
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Title | Weyl Transforms [electronic resource] / by M. W. Wong |
Imprint | New York, NY : Springer New York, 1998 |
Connect to | http://dx.doi.org/10.1007/b98973 |
Descript | VIII, 160 p. online resource |
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 Sโ(?2) -- The Symplectic Group -- Symplectic Invariance of Weyl Transforms