二维Fourier级数的数值反演

Numerical Inversion of 2-Dimensional Fourier Series

本文考察了Fourier级数反演问题有不适定性．并依据吉洪诺夫的正则化思想,通过对级数部分和数的限制，构造了相应的正则算子，进而结出解这类不适定问题的一种数值计算方法．

In this paper,an ill-posed property of inversion problem of 2-dimensional Fourier series is investigated,and following A.N.Tikhonoves regularizaion idea, the corresponding regularizing operator is constructed.Thus,a numerical method of solving this ill-posed problem is given.