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Weyl quantization and metaplectic representation

✍ Scribed by G. Burdet; M. Perrin

Publisher
Springer
Year
1977
Tongue
English
Weight
309 KB
Volume
2
Category
Article
ISSN
0377-9017

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✦ Synopsis

The formal expansion defining the twisted exponential of an element of the Lie algebra ~n [] ( en S~P( 2, IR)) can be summed and this result is used to explicitly obtain the

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## Abstract We study boundedness and compactness properties for the Weyl quantization with symbols in __L^q^__ (ℝ^2__d__^ ) acting on __L^p^__ (ℝ^__d__^ ). This is shown to be equivalent, in suitable Banach space setting, to that of the Wigner transform. We give a short proof by interpolation of Li