CKS-space in terms of growth functions
| dc.creator | Asai, Nobuhiro | |
| dc.creator | Kubo, Izumi | |
| dc.creator | Kuo, Hui-Hsiung | |
| dc.date | 2001-04-13 | |
| dc.date.accessioned | 2026-07-07T04:41:18Z | |
| dc.date.available | 2026-07-07T04:41:18Z | |
| dc.description | 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 $\a(n)=(\ell_{u}(n) n!)^{-1}, n\geq 0$, 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. | |
| dc.description | Louisiana state university preprint 1999 | |
| dc.identifier | https://arxiv.org/abs/math/0104146 | |
| dc.identifier | http://arxiv.org/abs/math/0104146 | |
| dc.identifier | Quantum information II, T.Hida and K. Saito (eds.), World Scientific (2000) pp17--27 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61301 | |
| dc.subject | Functional Analysis | |
| dc.subject | 60H40 | |
| dc.title | CKS-space in terms of growth functions | |
| dc.type | text |