Analysis of matrices of pseudo-differential operators with separable symbols on Z(N)

作者：Guo Qiang; Wong M W^*

来源：Journal of Pseudo-Differential Operators and Applications, 2016, 7(2): 249-259.

DOI：10.1007/s11868-016-0155-y

• Fourier transform
• Fourier inversion formula
• Fast Fourier transform
• Pseudo-differential operator
• Matrix representation
• Circulant matrix
• Fourier matrix
• Determinant
• Condition number
• Computational complexity

We give the determinants and upper bounds for the condition numbers of matrices of pseudo-differential operators T-sigma on Z(N) with separable symbols sigma on Z(N) x Z(N). For a time series z of size N, we give the computational complexity of T-sigma z. Numerical experiments are also given.

• 出版日期2016-6