کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5775129 | 1413576 | 2017 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the Dunkl intertwining operator
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the Dunkl intertwining operator On the Dunkl intertwining operator](/preview/png/5775129.png)
چکیده انگلیسی
Dunkl operators are differential-difference operators parametrized by a finite reflection group and a weight function. The commutative algebra generated by these operators generalizes the algebra of standard differential operators and intertwines with this latter by the so-called intertwining operator. In this paper, we give an integral representation for the operator VkâeÎ/2 for an arbitrary Weyl group and a large class of regular weights k containing those of nonnegative real parts. Our representing measures are absolutely continuous with respect the Lebesgue measure in Rd, which allows us to derive out new results about the intertwining operator Vk and the Dunkl kernel Ek. We show in particular that the operator VkâeÎ/2 extends uniquely as a bounded operator to a large class of functions which are not necessarily differentiables. In the case of nonnegative weights, this operator is shown to be positivity-preserving.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 447, Issue 2, 15 March 2017, Pages 846-859
Journal: Journal of Mathematical Analysis and Applications - Volume 447, Issue 2, 15 March 2017, Pages 846-859
نویسندگان
Mostafa Maslouhi,