Presents corrections to the above named paper.

this article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. we present a concrete formulation for the frobenius norm of the classical wavelet transforms over finite fields. it is shown that each vector defined over a finite field can be represented as...

We extend the Barut-Girardello coherent state for the representation of SU(1, 1) to the coherent state for a representation of U(N, 1) and construct the measure. We also construct a path integral formula for some Hamiltonian.

During the past two decades, there have been tremendous developments in near-field imaging and local probing techniques. Examples are the Scanning Tunneling Microscope (STM), Atomic Force Microscope (AFM), Near-field Scanning Optical Microscope (NSOM), Photon Scanning Tunneling Microscope (PSTM), and Scanning Thermal Microscope (SThM).Results showed that the average reflectance for a dopant con...

Behavioural and mathematical problems in the current formulation of the asymmetric multiclass traac assignment model are brought to light. A new formulation is presented that resolves these diiculties. The formulation is quantiied, and the result is a general class of coherent, multiclass cost functions. A numerical calibration exercise for a car and truck class model concludes the paper.

Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames. In this paper, we introduce a class of continuous frames in a Hilbert space $mathcal{H}$ which is indexed by some locally compact group $G$, equipped with its left Haar measure. These frames are obtained as the orbits of ...

We review some aspects of the relation between ordinary coherent states and q-deformed generalized coherent states with some of the simplest cases of quantum Lie algebras. In particular, new properties of (q-)coherent states are utilized to provide a path integral formalism allowing to study a modified form of q-classical mechanics, to probe some geometrical consequences of the q-deformation an...