Trigonometric interpolation and wavelet decompositions

J. Prestin*, E. Quak

*Corresponding author for this work
15 Citations (Scopus)


The aim of this paper is to describe explicit decomposition and reconstruction algorithms for nested spaces of trigonometric polynomials. The scaling functions of these spaces are defined as fundamental polynomials of Lagrange interpolation. The interpolatory conditions and the construction of dual functions are crucial for the approach presented in this paper.

Original languageEnglish
JournalNumerical Algorithms
Issue number2
Pages (from-to)293-317
Number of pages25
Publication statusPublished - 01.09.1995


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