For a second-order inhomogeneous differential equation defined on the real axis and such that its right-hand side and solutions are functions in a Hilbert space, it is shown that the existence of a generalized Fourier transform of the solution is a correct radiation condition if the right-hand...
Fourier transform‐electron paramagnetic resonance (FT‐EPR) was used to study the pulsed‐laser induced reduction of acetone with 2‐propanol. By monitori... PR Levstein,HV Willigen - 《Journal of Chemical Physics》 被引量: 147发表: 1991年 Kinetics and CIDEP of radicals during photoreduction ...
The Fourier transform of an integrable function f is defined bywhere d is the space dimension, while the inverse Fourier transform of an integrable function g readsThe Fourier transform is an automorphism of and induces an automorphism of its dual, i.e., . As usual, , where , represents th...
Fourier transform infrared (FTIR) spectra of nitrogen dioxide layers deposited at various rates and substrate temperatures, are reported. Bands assignable ... A Givan,A Loewenschuss - 《Journal of Chemical Physics》 被引量: 74发表: 1989年 ...
The method of variational iteration, the Adomian decomposition method, the Laplace transform, the finite difference method, the Fourier transform, the collocation method, etc. were considered among the techniques of solving fractional differential equations; see [24–31]. For example, fractional ...
4.2.1 The Discrete Sine Transform (DST) . . . . . . . . . . 33 4.2.2 The Discrete Fourier Transform (DFT) . . . . . . . . 34 4.2.3 The Fast Fourier Transform (FFT) . . . . . . . . . . . 35 4.2.4 A Poisson Solver based on the FFT . . . . . . . . . ...
The pure diffraction broadening was found to vary with the Bragg angle in agreement with a microstress theory of broadening rather than with a particle size mechanism. The Fourier transform of the pure diffraction broadening has been determined and also found to be in agreement with a microstress...
In Section 1.1 we recall the Sobolev inequalities and a compactness theorem for the Sobolev spaces; this theorem is of course the basic tool for the compactness method. In Section 1.2 we give a variational formulation of the homogeneous Navier-Stokes equations (i.e., the Navier-Stokes equations...
This paper addresses the existence detection of blanket jamming based on fractal features in fractional Fourier transform (FRET) domain. Firstly, the existences of fractal features of three typical jamming signals are analyzed, and box dimension and information dimension are employed to describe fractal...
(MAS H1 NMR), Raman spectroscopy including deuterium substitution, photoluminescence emission spectroscopy, Fourier transform infrared spectroscopy (FTIR), gas chromatography, X-ray photoelectron spectroscopy (XPS), time of flight secondary ion mass spectroscopy (ToF-SIMS), electrospray ionization time of ...