Some Properties of Continuous Frames

Sampling theorem combined with an efficient reconstruction algorithm, has been applied successfully to prove irregular sampling theorems in spaces of analytic functions, for shorttime Fourier transforms and wavelet transforms, and for a general classof spaces of band-limited functions . An important instance of this algorithm occurs in the presence of frames in a Hilbert space. We present a newmethod to obtain continuous frame bounds. In the applications to irregular sampling of band-limited functions this alternative strategy leads to better and explicit estimates of the continuous frame bounds.