Estimates of frame bounds for wavelet frames generated by discrete sets in phase space satisfying only a certain density condition are deduced. Numerical examples show that these estimates, which are the sharpest results of this kind known to the authors, are rather poor compared to Daubechies' estimates (see ibid., vol.36, no.5, p.961-1005, 1990) for the usual discrete wavelet transforms.>

It is pointed out that an irregular sampling theorem of the author (Siam J. Appl. Math., vol.47, no.5, p.1112-16, 1987) can be used to generalize the results of a paper by Z.A. Piranashvili (Theory Prob. Appl., vol.12, p.647-57, 1967) on interpolation of stochastic processes. Only the important case of wide sense stationary processes is considered here.>