Computing Recomposition of Maps with a New Sampling Asymptotic Formula

• 作者: Almudena Antu?a Juan L. G. Guirao Miguel A. López
• 来源期刊: 离散数学期刊(英文)
• 学科: 数学
• 关键词: Band-Limited SIGNAL Shannon's Sampling THEOREM APPROXIMATION THEORY
• 年，卷（期）: 2011,（2）
• 页码范围: 43-49
• 页数: 7页
• 分类号: O1

摘要

The aim of the present paper is to state an asymptotic property &#929 of Shannon’s sampling theorem type, based on normalized cardinal sines, and keeping constant the sampling frequency of a not necessarilly band- limited signal. It generalizes in the limit the results stated by Marvasti et al. [7] and Agud et al. [1]. We show that &#929 is fulfilled for any constant signal working for every given sampling frequency. Moreover, we conjecture that Gaussian maps of the form e-&#923t2 ,&#923&#8712R+, hold &#929. We support this conjecture by proving the equality given by for the three first coefficients of the power series representation of e-&#923t2 .