کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5773593 | 1413513 | 2017 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Approximations in Sobolev spaces by prolate spheroidal wave functions
ترجمه فارسی عنوان
نزدیک شدن در فضاهای سوبولف با استفاده از توابع موج بلند اسفوردی
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
Recently, there is a growing interest in the spectral approximation by the Prolate Spheroidal Wave Functions (PSWFs) Ïn,c,c>0. This is due to the promising new contributions of these functions in various classical as well as emerging applications from Signal Processing, Geophysics, Numerical Analysis, etc. The PSWFs form a basis with remarkable properties not only for the space of band-limited functions with bandwidth c, but also for the Sobolev space Hs([â1,1]). The quality of the spectral approximation and the choice of the parameter c when approximating a function in Hs([â1,1]) by its truncated PSWFs series expansion, are the main issues. By considering a function fâHs([â1,1]) as the restriction to [â1,1] of an almost time-limited and band-limited function, we try to give satisfactory answers to these two issues. Also, we illustrate the different results of this work by some numerical examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 42, Issue 3, May 2017, Pages 361-377
Journal: Applied and Computational Harmonic Analysis - Volume 42, Issue 3, May 2017, Pages 361-377
نویسندگان
Aline Bonami, Abderrazek Karoui,