For the Modified Discrete Fourier Series of Absolutely Summable Sequences = 계량된 퓨리예 급수를 이용한 자동차 모형 디자인

국문 초록 (Abstract)

기존의 L2-space상에서의 Fourier Series의 표현 가능성을 확장하여 L1(Rn)상의 function을 수정된 courier 형태의 급수로 나타내고, 이 이론을 근거로 Modified Discrete Series로 재구성하여, 이의 응용으로 자동차 모형의 일부분의 점만으로도 전체모형을 나타낼 수 있음을 목적으로 한다.

다국어 초록 (Multilingual Abstract)

In the spectral analysis, Fourier coefficients is very important to give an information for the original signal f on the finite domain, since it recovers f. Also Fourier analysis has extension to wavelet analysis for the whole space R(See [1], [2], [3], [4], [5], [7], [11]). Various kinds of reconstruction theorems are main subject to analyze signal functions in L2(R) (See [6], [9], [10], [13], [14], [15], [16]). By recovering f properly, there are many applications in Digital Signal Processing and Image Processing.
It is natural to consider reconstruction theorem in L1(Rn) using the known Fourier coefficient which is called a Modified Fourier Series expansion. See Theorem 2.2. and Theorem 2.3. in section II(Also see [17], [18]).
In this paper, we will design a simple Model of automobile using the Modified Fourier Series expansion. See section III. Application.

목차 (Table of Contents)

• Ⅰ.Introduction
• Ⅱ.Main Theorem
• Ⅲ.Application
• <국문요약>