A. Gupta, R. Gross, et al.
SPIE Advances in Semiconductors and Superconductors 1990
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. Gupta, R. Gross, et al.
SPIE Advances in Semiconductors and Superconductors 1990
Jianke Yang, Robin Walters, et al.
ICML 2023
Daniel J. Costello Jr., Pierre R. Chevillat, et al.
ISIT 1997
A. Grill, B.S. Meyerson, et al.
Proceedings of SPIE 1989