کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900242 1631558 2018 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Three systems of orthogonal polynomials and L2-boundedness of two associated operators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Three systems of orthogonal polynomials and L2-boundedness of two associated operators
چکیده انگلیسی
In this paper, we describe three systems of orthogonal polynomials belonging to the class of Meixner-Pollaczek polynomials, and establish some useful connections between them in terms of three basic operators that are related to them. Furthermore, we investigate boundedness properties of two other operators, both as convolution operators in the translation invariant case where we use Fourier transforms and for the weights related to the relevant orthogonal polynomials. We consider only the most important but also simplest case of L2-spaces. However, in subsequent papers, we intend to extend the study to Lp-spaces (1
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 459, Issue 1, 1 March 2018, Pages 464-475
نویسندگان
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