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2000 Mathematics Subject Classification: 35E45
In this paper we study generalized Sobolev spaces H^sG of exponential
type associated with the Dunkl operators based on the space G of test
functions for generalized hyperfunctions and investigate their properties.
Moreover, we introduce a class of symbols of exponential type and their
associated pseudodifferential operators related to the Dunkl operators, which
act naturally on H^sG.
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