کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5499935 1533718 2017 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the Bargmann-Radon transform in the monogenic setting
ترجمه فارسی عنوان
در تبدیل بارگمان رادون در محیط مونوژنیک
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی
In this paper, we introduce and study a Bargmann-Radon transform on the real monogenic Bargmann module. This transform is defined as the projection of the real Bargmann module on the closed submodule of monogenic functions spanned by the monogenic plane waves. We prove that this projection can be written in integral form in terms the so-called Bargmann-Radon kernel. Moreover, we have a characterization formula for the Bargmann-Radon transform of a function in the real Bargmann module in terms of its complex extension and then its restriction to the nullcone in Cm. We also show that the formula holds for the Szegő-Radon transform that we introduced in Colombo et al. (2016) and we define the dual transform and we provide an inversion formula. Finally, in Theorem 5.6, we prove an integral formula for the monogenic part of an entire function.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 120, October 2017, Pages 306-316
نویسندگان
, , ,