Razafinjatovo, Haja N. Iterative reconstructions in irregular sampling with derivatives. (English) Zbl 0886.42023 J. Fourier Anal. Appl. 1, No. 3, 281-295 (1995). Summary: Finite energy band-limited functions are reconstructed iteratively from nonuniform sample values of the functions and its derivatives. It is shown that the maximum gap allowed between the sampling points increases linearly with the number of derivatives considered. Moreover, a more precise result is presented for the first derivative case and another reconstruction of the functions using the frame algorithm is deduced. Cited in 9 Documents MSC: 42C15 General harmonic expansions, frames 94A12 Signal theory (characterization, reconstruction, filtering, etc.) Keywords:irregular sampling with derivatives; band-limited functions; reconstruction; frame algorithm PDFBibTeX XMLCite \textit{H. N. Razafinjatovo}, J. Fourier Anal. Appl. 1, No. 3, 281--295 (1995; Zbl 0886.42023) Full Text: DOI EuDML