A Generalization of Nonharmonic Fourier Series

Harold E. Benzinger
1989 Proceedings of the American Mathematical Society  
It is shown that the theory of nonharmonic Fourier series is a special case of a general method for perturbing bases in Banach spaces, and that even in the classical case, there are many ways of perturbing ordinary Fourier series while still preserving the norm and pointwise convergence properties.
doi:10.2307/2046917 fatcat:zexqd2ewyrb77el3fs5ujrfnxa