کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8900086 | 1631555 | 2018 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Explicit formulas for the Dunkl dihedral kernel and the (κ,a)-generalized Fourier kernel
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Explicit formulas for the Dunkl dihedral kernel and the (κ,a)-generalized Fourier kernel Explicit formulas for the Dunkl dihedral kernel and the (κ,a)-generalized Fourier kernel](/preview/png/8900086.png)
چکیده انگلیسی
In this paper, a new method is developed to obtain explicit and integral expressions for the kernel of the (κ,a)-generalized Fourier transform for κ=0. In the case of dihedral groups, this method is also applied to the Dunkl kernel as well as the Dunkl Bessel function. The method uses the introduction of an auxiliary variable in the series expansion of the kernel, which is subsequently Laplace transformed. The kernel in the Laplace domain takes on a much simpler form, by making use of the Poisson kernel. The inverse Laplace transform can then be computed using the generalized Mittag-Leffler function to obtain integral expressions. In case the parameters involved are integers, explicit formulas are obtained using partial fraction decomposition. New bounds for the kernel of the (κ,a)-generalized Fourier transform are obtained as well.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 460, Issue 2, 15 April 2018, Pages 900-926
Journal: Journal of Mathematical Analysis and Applications - Volume 460, Issue 2, 15 April 2018, Pages 900-926
نویسندگان
Denis Constales, Hendrik De Bie, Pan Lian,