Hankel matrices and minifunctions
Lavon B. Page · Numerical Functional Analysis and Optimization · 1985
If is an infinite Hankel matrix which represents a compact operator on Hilbert space, then there is a unique function f in L∞ having a0,a1,a2j,… as its Fourier co-efficients of non-negative index and satisfying . An algorithm based on [11] is used to approximate numerically the remaining Fourier coefficients of f in case {an} is real and converges to zero sufficiently rapidly.