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- W2055239843 abstract "A class of growth functions $u$ is introduced to construct Hida distributions and test functions. The Legendre transform $ell_{u}$ of $u$ is used to define a sequence $a(n)=(ell_{u}(n) n!)^{-1}, ngeq 0$, of positive numbers. From this sequence we get a CKS-space. Under various conditions on $u$ we show that the associated sequence ${a(n)}$ satisfies those conditions for carrying out the white noise distribution theory on the CKS-space. We show that $u$ and its dual Legendre transform $u^{*}$ are growth functions for test and generalized functions, respectively, in the characterization theorems." @default.
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- W2055239843 date "2001-04-13" @default.
- W2055239843 modified "2023-09-27" @default.
- W2055239843 title "CKS-space in terms of growth functions" @default.
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