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Anti-Wick quantization with symbols in  spaces
Author(s):
Paolo
Boggiatto;
Elena
Cordero
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2679-2685.
MSC (2000):
Primary 47G30, 35S05
Posted:
February 4, 2002
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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.
References:
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Additional Information:
Paolo
Boggiatto
Affiliation:
Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy
Email:
boggiatto@dm.unito.it
Elena
Cordero
Affiliation:
Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy
Email:
cordero@dm.unito.it
DOI:
10.1090/S0002-9939-02-06348-7
PII:
S 0002-9939(02)06348-7
Keywords:
Anti-Wick,
pseudo-differential operators,
Hilbert-Schmidt,
trace class
Received by editor(s):
April 12, 2001
Posted:
February 4, 2002
Communicated by:
David Tartakoff
Copyright of article:
Copyright
2002,
American Mathematical Society
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