The purpose of the present paper is to initiate a systematic study of the relation of the boundary values for hyperbolic-dissipative systems of partial differential equations. We introduce a general framework for explicitly deriving the boundary kernel for the Dirichlet-Neumann map. We first use the Laplace and Fourier transforms, and the stability consideration to derive the Master Relationshi...

Quantum mechanics requires the operation of quantum computers to be unitary, and thus makes it important to have general techniques for developing fast quantum algorithms for computing unitary transforms. A quantum routine for computing a generalized Kronecker product is given. Applications include re-development of the networks for computing the Walsh-Hadamard and the quantum Fourier transform...

tungsten trioxide (wo3) films have been coated on indium thin oxide (ito) conductive glass substrate, using aqueous solution of peroxotungstic acid (pta) by the sol-gel dip coating method. x-ray diffractometery (xrd) analysis confirmed monoclinic and triclinic structure for the film and powdered wo3 respectively. fourier transforms infrared spectroscopy (ft-ir) exhibited the structure of peroxo...

Abstract The Five-hundred-meter Aperture Spherical radio Telescope (FAST) is the most sensitive ground-based, single-dish telescope on Earth. However, original H i spectra produced by FAST are affected standing waves. To maximize power of for high-sensitivity observations, we proposed an algorithm that combines fast Fourier transforms and extreme envelope curves to automatically correct baselin...

This paper discusses the efficient, non-redundant evaluation of a Discrete Fourier Transform on the three dimensional Body-Centered and Face-Centered Cubic lattices. The key idea is to use an axis aligned window to truncate and periodize the sampled function which leads to separable transforms. We exploit the geometry of these lattices and show that by choosing a suitable non-redundant rectangu...