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...

acute lymphoblastic leukemia(all) is due to early stage arrest of lymphoblast development. the translocation of philadelphia (ph) chromosome occurs as a result of the bcr-abl fusion gene, which constitutively produced activated tyrosine kinase. this gene fusion is an important indicator for prognosis in all and is associated with poor overall survival and remission duration. bcr-abl could inter...

Video super-resolution for dual-mode cameras in single-view and mono-view scenarios is studied in this thesis. Dual-mode cameras are capable of generating high-resolution still images while shooting video sequences at low-resolution. High-resolution still images are used to form a regularization function for solving the inverse problem of super-resolution. Exploiting proposed regularization fun...

Generalized fusion frame and some of their properties in tensor product Hilbert spaces are described. Also, the canonical dual g-fusion is considered. Finally, operator for a pair Bessel sequences presented.

We have constructed a fusion protein between mSlo (a recombinant, high conductance, calcium-activated potassium channel or maxi-K), and GFP (green fluorescent protein). This construct represents a tag to not only monitor channel expression, but to locate the protein in living cells. The GFP was fused in frame to the carboxy-terminus of the mSlo core protein (mSloGFP fusion protein). Expression ...

BACKGROUND Ankle arthrodesis may be achieved using the Ilizarov method. Comorbidities, such as diabetes, Charcot neuroarthropathy, osteomyelitis, leg length discrepancy, and smoking, can make an ankle fusion complex and may be associated with lower rates of healing. QUESTIONS/PURPOSES We asked if (1) smoking and other comorbidities led to lower fusion rates, (2) time wearing the frame affecte...

For any fixed fusion frame, its optimal dual fusion frames for reconstruction is studied in case of erasures of subspaces. It is considered that a probability distribution of erasure of subspaces is given and that a blind reconstruction procedure is used, where the erased data are set to zero. It is proved that there are always optimal duals. Sufficient conditions for the canonical dual fusion ...