کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665838 1633836 2014 33 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications
چکیده انگلیسی

A series expansion for Heckman–Opdam hypergeometric functions φλφλ is obtained for all λ∈aC⁎. As a consequence, estimates for φλφλ away from the walls of a Weyl chamber are established. We also characterize the bounded hypergeometric functions and thus prove an analogue of the celebrated theorem of Helgason and Johnson on the bounded spherical functions on a Riemannian symmetric space of the noncompact type. The LpLp-theory for the hypergeometric Fourier transform is developed for 0

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 252, 15 February 2014, Pages 227–259
نویسندگان
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