کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904727 1633755 2018 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator
چکیده انگلیسی
The present paper is about Bernstein-type estimates for Jacobi polynomials and their applications to various branches in mathematics. This is an old topic but we want to add a new wrinkle by establishing some intriguing connections with dispersive estimates for a certain class of Schrödinger equations whose Hamiltonian is given by the generalized Laguerre operator. More precisely, we show that dispersive estimates for the Schrödinger equation associated with the generalized Laguerre operator are connected with Bernstein-type inequalities for Jacobi polynomials. We use known uniform estimates for Jacobi polynomials to establish some new dispersive estimates. In turn, the optimal dispersive decay estimates lead to new Bernstein-type inequalities.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 333, 31 July 2018, Pages 796-821
نویسندگان
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