Local reconstruction of a function from a non-uniform sampled data

Authors:
R. Radha;S. Sivananthan
Affiliations:
Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India;Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India
Venue:
Applied Numerical Mathematics
Year:
2009

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Abstract

A local reconstruction method is discussed for functions belonging to a shift invariant space arising out of a function which has polynomial decay in time domain and moderate decay in frequency domain such that its Fourier transform is non-vanishing on a unit interval. This method is useful in solving the scaling identity (associated wavelet basis) locally.