کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898230 1631327 2018 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Directional wavelets on n-dimensional spheres
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Directional wavelets on n-dimensional spheres
چکیده انگلیسی
Directional Poisson wavelets, being directional derivatives of Poisson kernel, are introduced on n-dimensional spheres. It is shown that, slightly modified and together with another wavelet family, they are an admissible wavelet pair according to the definition derived from the theory of approximate identities. We investigate some of the properties of directional Poisson wavelets, such as recursive formulae for their Fourier coefficients or explicit representations as functions of spherical variables (for some of the wavelets). We derive also an explicit formula for their Euclidean limits.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 44, Issue 2, March 2018, Pages 201-229
نویسندگان
,