[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2010.26.1.105

A NONHARMONIC FOURIER SERIES AND DYADIC SUBDIVISION SCHEMES

Rhee, Jung-Soo (DEPARTMENT OF MATHEMATICS PUSAN UNIVERSITY OF FOREIGN STUDIES)

Publication Information

East Asian mathematical journal / v.26, no.1, 2010 , pp. 105-113 More about this Journal

Abstract

In the spectral analysis, Fourier coeffcients are very important to give informations for the original signal f on a finite domain, because they recover f. Also Fourier analysis has extension to wavelet analysis for the whole space R. Various kinds of reconstruction theorems are main subject to analyze signal function f in the field of wavelet analysis. In this paper, we will present a new reconstruction theorem of functions in $L^1(R)$ using a nonharmonic Fourier series. When we construct this series, we have used dyadic subdivision schemes.

Keywords

Fourier coefficient; wavelet analysis; nonharmonic Fourier series;

Citations & Related Records

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