In the study of vector spaces, one of the most important concepts is that of a basis. We require that the elements are linearly independent, and very often we even want them to be orthogonal. This makes it hard or even impossible to find bases satisfying extra conditions, and this is the reason that one might wish to look for a more flexible tool. Frames are such tools. Frames were first introduced in 1952 by Duffin and Schaeffer, reintroduced in 1986 by Daubechies, Grossmann, and Meyer, and popularized from then on. Frames have many nice properties which make them very useful in the characterization of function spaces, signal processing and many other fields. We refer to [4, 7, 12, 15, 16, 22] for an introduction to frame theory and its applications. A sequence of elements in , a separable Hilbert space, is a frame for H if there exist constants A, B 0 such that Let e a frame with frame operator S. The frame decomposition, is the most important frame result. Another result is as follow’s. The removal of a vector from a frame for leaves either a frame or an incomplete set.