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Deformation Quantization and Geometric Quantization of Abelian Moduli Spaces

✍ Scribed by Jørgen Ellegaard Andersen


Publisher
Springer
Year
2005
Tongue
English
Weight
227 KB
Volume
255
Category
Article
ISSN
0010-3616

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Weyl quantization of Lebesgue spaces
✍ Paolo Boggiatto; Giuseppe De Donno; Alessandro Oliaro 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 131 KB

## 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