A new method of inverting the noisy Fourier transform of a periodic function is considered. Results concerning norm approximation in Lp(TN), 1 ≤ p< +∞, or in C(TN) where is an N-dimensional torus are derived in a form suitable for applications. Then the method is tested by a numerical simulation procedure in the case of the space L1(T)
Bacchelli, B., DI NATALE, M. (1996). Norm approximation of periodic functions from noisy Fourier coefficients. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 4(6), 483-498 [10.1515/jiip.1996.4.6.483].
Norm approximation of periodic functions from noisy Fourier coefficients
BACCHELLI, BARBARA;DI NATALE, MARINA
1996
Abstract
A new method of inverting the noisy Fourier transform of a periodic function is considered. Results concerning norm approximation in Lp(TN), 1 ≤ p< +∞, or in C(TN) where is an N-dimensional torus are derived in a form suitable for applications. Then the method is tested by a numerical simulation procedure in the case of the space L1(T)
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