Tail behavior of Mexican needlets

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• 作者：Claudio Durastanti^a ; ^b ; ¹ ; ^{claudio.durastanti@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Wavelets ; Mexican needlets ; Sphere ; Concentration properties ; Spatial localization
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 March 2017
• 年：2017
• 卷：447
• 期：2
• 页码：716-735
• 全文大小：400 K

文摘

In this paper we study the tail behavior of Mexican needlets, a class of spherical wavelets introduced by Geller and Mayeli in [12]. More specifically, we provide an explicit upper bound depending on the resolution level j and a parameter s governing the shape of the Mexican needlets.