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Anti-Wick quantization with symbols in |
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| Authors: | Paolo Boggiatto Elena Cordero |
| Institution: | Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy ; Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy |
| Abstract: | We give a classification of pseudo-differential operators with anti-Wick symbols belonging to  spaces: if  the corresponding operator belongs to trace classes; if  we get Hilbert-Schmidt operators; finally, if  , the operator is compact. This classification cannot be improved, as shown by some examples. |
| Keywords: | Anti-Wick pseudo-differential operators Hilbert-Schmidt trace class |
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