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• W2949463721 abstract "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." @default.
• W2949463721 created "2019-06-27" @default.
• W2949463721 creator A5026373613 @default.
• W2949463721 creator A5044686758 @default.
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• W2949463721 date "2001-04-12" @default.
• W2949463721 modified "2023-09-27" @default.
• W2949463721 title "Roles of Log-concavity, log-convexity, and growth order in white noise analysis" @default.
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