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We study self-adjoint bounded Jacobi operators of the form: $$(\mathbf{J}\psi)(n) = a_{n}\psi(n + 1) + b_{n}\psi(n) + a_{n-1}\psi(n- 1)$$ on ℓ2(ℕ). We assume that for some fixed q∈ℕ, the q-variation of {an} and {bn} is square-summable and {an} and {bn} converge to q-periodic sequences and , respectively. Our main result...
Wavelet and wavelet packet decompositions have been proven to be very effective in analyzing various types of signals and images. One useful type of analysis is image and texture classification. Such processing requires the analysis framework to be invariant to changes in scale, translation and other types of deformations. We deal in this context with the shift variance of the discrete wavelet transform...
Tumor directed cytotoxic therapy is one of the major challenges for the success of chemotherapy. In order to accomplish this goal in neuroblastoma, we rationally designed a prodrug of etoposide as substrate for tyrosine hydroxylase, a well established neuroblastoma associated enzyme. Here, we report synthesis and characterization of a 3,4 dihydroxy-phenyl carbamate derivative of etoposide. In order...
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