Roles of Log-concavity, log-convexity, and growth order in white noise analysis
| dc.creator | Asai, Nobuhiro | |
| dc.creator | Kubo, Izumi | |
| dc.creator | Kuo, Hui-Hsiung | |
| dc.date | 2001-04-12 | |
| dc.date.accessioned | 2026-07-07T04:41:16Z | |
| dc.date.available | 2026-07-07T04:41:16Z | |
| dc.description | In this paper we will develop a systematic method to answer the questions $(Q1)(Q2)(Q3)(Q4)$ (stated in Section 1) with complete generality. As a result, we can solve the difficulties $(D1)(D2)$ (discussed in Section 1) without uncertainty. For these purposes we will introduce certain classes of growth functions $u$ and apply the Legendre transform to obtain a sequence which leads to the weight sequence $\{\a(n)\}$ first studied by Cochran et al. \cite{cks}. The notion of (nearly) equivalent functions, (nearly) equivalent sequences and dual Legendre functions will be defined in a very natural way. An application to the growth order of holomorphic functions on $\ce_c$ will also be discussed. | |
| dc.description | To appear in Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 (2001). Universidade da Madeira CCM preprint 37 (1999) | |
| dc.identifier | https://arxiv.org/abs/math/0104132 | |
| dc.identifier | http://arxiv.org/abs/math/0104132 | |
| dc.identifier | Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 4, No. 1 (2001) 59-84 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61290 | |
| dc.subject | Functional Analysis | |
| dc.subject | Probability | |
| dc.subject | 60H40 | |
| dc.title | Roles of Log-concavity, log-convexity, and growth order in white noise analysis | |
| dc.type | text |