Implementing functionals in HCL

Equivalence of K-functionals and modulus of smoothness for fourier transform

In Hilbert space L2(Rn), we prove the equivalence between the mod-ulus of smoothness and the K-functionals constructed by the Sobolev space cor-responding to the Fourier transform. For this purpose, Using a spherical meanoperator.

A Representation for Characteristic Functionals of Stable Random Measures with Values in Sazonov Spaces

NMR Quantum Computation with a hyperpolarized nuclear spin bulk

We consider two new quantum gate mechanisms based on nuclear spins in hyperpolarized solid Xe and HCl mixtures and inorganic semiconductors. We propose two schemes for implementing a controlled NOT ( CNOT ) gate based on nuclear magnetic resonance ( NMR ) spectroscopy and magnetic resonance imaging ( MRI ) from hyperpolarized solid Xe and HCl mixtures and optically pumped NMR in semiconductors....

Implementing hexaminolevulinate HCl blue light cystoscopy: a nursing perspective.

Hexaminolevulinate HCl is a diagnostic imaging agent used with blue light during cystoscopy to help detect non-muscle-invasive bladder cancer. Blue light cystoscopy performed using hexaminolevulinate HCl has been found to detect more papillary non-muscle-invasive bladder tumors than cystoscopy performed using standard white light. Because bladder instillation and retention requirements of hexam...

Almost multiplicative linear functionals and approximate spectrum

We define a new type of spectrum, called δ-approximate spectrum, of an element a in a complex unital Banach algebra A and show that the δ-approximate spectrum σ_δ (a) of a is compact. The relation between the δ-approximate spectrum and the usual spectrum is investigated. Also an analogue of the classical Gleason-Kahane-Zelazko theorem is established: For each ε>0, there is δ>0 such that if ϕ is...