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
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications](/preview/png/4665838.png)
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
Journal: Advances in Mathematics - Volume 252, 15 February 2014, Pages 227–259
نویسندگان
E.K. Narayanan, A. Pasquale, S. Pusti,