کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6426193 1346077 2014 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces
چکیده انگلیسی

In this paper we give global characterisations of Gevrey-Roumieu and Gevrey-Beurling spaces of ultradifferentiable functions on compact Lie groups in terms of the representation theory of the group and the spectrum of the Laplace-Beltrami operator. Furthermore, we characterise their duals, the spaces of corresponding ultradistributions. For the latter, the proof is based on first obtaining the characterisation of their α-duals in the sense of Köthe and the theory of sequence spaces. We also give the corresponding characterisations on compact homogeneous spaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Bulletin des Sciences Mathématiques - Volume 138, Issue 6, September 2014, Pages 756-782
نویسندگان
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