کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4643199 1341371 2007 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Optimally space-localized band-limited wavelets on Sq-1Sq-1
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Optimally space-localized band-limited wavelets on Sq-1Sq-1
چکیده انگلیسی

The localization of a function can be analyzed with respect to different criteria. In this paper, we focus on the uncertainty relation on spheres introduced by Goh and Goodman [Uncertainty principles and asymptotic behavior, Appl. Comput. Harmon. Anal. 16 (2004) 69–89], where the localization of a function is measured in terms of the product of two variances, the variance in space domain and the variance in frequency   domain. After deriving an explicit formula for the variance in space domain of a function in the space Wn,qs of spherical polynomials of degree at most n+sn+s which are orthogonal to all spherical polynomials of degree at most n  , we are able to identify—up to rotation and multiplication by a constant—the polynomial in Wn,qs with minimal variance in space-domain, or in other words, to determine the optimally space-localized polynomial in Wn,qs.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 199, Issue 1, 1 February 2007, Pages 68–79
نویسندگان
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