Generalized functions which are analytic with respect to some of their variables |
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Authors: | Yu. A. Brychkov |
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Affiliation: | 1. Computation Center, Academy of Sciences of the USSR, USSR
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Abstract: | For a generalized function which is analytic with respect to some of its variables in the sense of Gording and Malgrange we prove a theorem on representation in the form of a power series in these variables which converges in D′ and a corresponding uniqueness theorem. We also obtain necessary and sufficient conditions for a generalized function to be entire with respect to some of its variables. |
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