Multidimensional NMR techniques used in the measurement of molecular displacements, whether by diffusion or advection, and in the measurement of nuclear spin relaxation times are categorised. Fourier-Fourier, Fourier-Laplace and Laplace-Laplace methods are identified, and recent developments discussed in terms of the separation, correlation and exchange perspective of multidimensional NMR spect...

Abstract Analysis of the dynamic response a complex nonlinear system is always difficult problem. By using Volterra functional series to describe system, its analysis can be similar Fourier/Laplace transform and linear transfer function method analyse system's response. In this paper, for systems based on developed. Firstly, recursive formula least square established solve kernel vector, corres...

This paper is devoted to the problem of best recovery a fractional power B-elliptic operator function on R+N by its Fourier–Bessel transform known approximately convex set with estimate difference between and approximation in metric L∞. The optimal method has been found. does not use values beyond ball centered at origin.

In the present work, a hybrid of Fourier transform and homotopy perturbation method is developed for solving the non-homogeneous partial differential equations with variable coefficients. The Fourier transform is employed with combination of homotopy perturbation method (HPM), the so called Fourier transform homotopy perturbation method (FTHPM) to solve the partial differential equations. The c...

Numerical inverse Laplace transform (NILT) methods are widely used in various scientific areas, especially for a solution of respective differential equations. In field of an electrical engineering many various approaches have been considered so far, but mostly for a single variable (1D NILT), see at least (Brančík, 1999, 2007b; Cohen, 2007; Valsa & Brančík, 1998; Wu at al., 2001) from plenty o...

magnetotelluric (mt) method is an important passive surface geophysical method which uses the earth’s natural electromagnetic fields to investigate the electrical resistivity structure of the subsurface. the depth of investigation of mt is much higher than that of other electromagnetic (em) methods (vozoff, 1991). for a general conductivity distribution in the earth, the horizontal electric fie...

We extend the quadratic form of Gaussian functional free quantum scalar field theory to set functions decreasing in infinity as $$ {\left|\overrightarrow{x}\right|}^{-1} . use momentum-space representation (after Fourier transform) and product is generated by Laplace operator (potential term Hamiltonian).