کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9500283 | 1337603 | 2005 | 32 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On approximation of functions by exponential sums
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On approximation of functions by exponential sums On approximation of functions by exponential sums](/preview/png/9500283.png)
چکیده انگلیسی
We introduce a new approach, and associated algorithms, for the efficient approximation of functions and sequences by short linear combinations of exponential functions with complex-valued exponents and coefficients. These approximations are obtained for a finite but arbitrary accuracy and typically have significantly fewer terms than Fourier representations. We present several examples of these approximations and discuss applications to fast algorithms. In particular, we show how to obtain a short separated representation (sum of products of one-dimensional functions) of certain multi-dimensional Green's functions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 19, Issue 1, July 2005, Pages 17-48
Journal: Applied and Computational Harmonic Analysis - Volume 19, Issue 1, July 2005, Pages 17-48
نویسندگان
Gregory Beylkin, Lucas Monzón,