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- W2078132413 abstract "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." @default.
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- W2078132413 date "2005-07-01" @default.
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- W2078132413 title "On approximation of functions by exponential sums" @default.
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- W2078132413 doi "https://doi.org/10.1016/j.acha.2005.01.003" @default.
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