WOVEN FRAMES IN TENSOR PRODUCT OF HILBERT SPACES

Fusion Frames and G-frames in Tensor Product and Direct Sum of Hilbert Spaces

Frames for Hilbert spaces were first introduced by Duffin and Schaeffer [10] in 1952 to study some problems in nonharmonic Fourier series, reintroduced in 1986 by Daubechies, Grossmann and Meyer [8]. Frames are very useful in characterization of function spaces and other fields of applications such as filter bank theory, sigmadelta quantization, signal and image processing and wireless communic...

Generalized Frames in Hilbert Spaces

Woven fusion frames in Hilbert spaces and some of their properties

Extending and improving the concepts: woven frame and fusion frames, we introduce the notion of woven fusion frames in Hilbert spaces. We clarify our extension and generalization by some examples of woven frames and woven fusion frames. Also, we present some properties of woven fusion frames, especially we show that for given two woven frames of sequences, one can build woven fusion frames and ...

FUSION FRAMES IN HILBERT SPACES

Fusion frames are an extension to frames that provide a framework for applications and providing efficient and robust information processing algorithms. In this article we study the erasure of subspaces of a fusion frame.  

Multipliers of generalized frames in Hilbert spaces

Multilevel frames for sparse tensor product spaces

For Au = f with an elliptic differential operator A : H → H′ and stochastic data f , the m-point correlation function Mmu of the random solution u satisfies a deterministic, hypoelliptic equation with the m-fold tensor product operator A of A. Sparse tensor products of hierarchic FE-spaces in H are known to allow for approximations to Mmu which converge at essentially the rate as in the case m ...