A. Skumanich
SPIE OE/LASE 1992
It is shown that, under certain conditions, orthonormalizing the positive integer shifts of an exponentially decaying function on the half line by the Gram-Schmidt process leads to a limiting profile given by orthonormalizing all their integer shifts on the whole line. These results derive from properties of Cholesky factorization of bi-infinite and semi-infinite matrices. An example is provided by the negative exponential function and conjectures are given, supported by numerical evidence, for the Gaussian and Lorentz function.
A. Skumanich
SPIE OE/LASE 1992
Peter Wendt
Electronic Imaging: Advanced Devices and Systems 1990
Sankar Basu
Journal of the Franklin Institute
R.B. Morris, Y. Tsuji, et al.
International Journal for Numerical Methods in Engineering