A Comparison of Two Spaces of Generalized White Noise Functionals |
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Authors: | Våge Gjermund |
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Institution: | (1) Department of Mathematics, University of Oslo, Box 1053, N-0316 Oslo, Norway. E-mail |
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Abstract: | In the literature (see 5, 6, 8]) there are two families of spaces called Kondratiev spaces: (c)± and (S
c)± for 0 1. We investigate the relation between the spaces and show that they are topologically isomorphic when (d) L2 (d) (d) is the underlying Gel'fand triple for (c)±. In this case we also give the explicit relation between the S-transform and -transform on (c)-1 and (S
c)-1, respectively. |
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Keywords: | Kondratiev spaces Herwite transform S-transform |
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