[PDF] Top 20 On integral operators generated by the Fourier transform and a reflection

... once the Fourier transformation (or its inverse) to the same object, as well as to use algebraic combinations of the Fourier ...is the case ...equations by applying ... See full document

... start by identifying the operator that we study in this thesis, which cor- responds to a generalization of the Fourier ...is generated univocally by the Fourier ... See full document

... in the theory of differential equations (see, for example, [ 13 , Chapter 8]), and in harmonic analysis, ...in the sense of uncertainty principles; namely, Corollary 3 below can be considered to be ... See full document

... distributions and convolution theories to partial differential equations relies on the so-called fundamental solutions of linear differen- tial operators, which we will soon ...in the ... See full document

... analysis on the convolution and product theorems of the five papers cited ...multiplications and prove their fundamental ...with the computa- tional complexity and input ... See full document

... at the end of the step 1, simulate stratocumulus and cu- mulus fields with enough coherent statistics ...tocumulus and cumulus) or IWC (for cirrus) generated in the step 1 of ... See full document

... of the three chirps Ech(u), Ech(v), [ Ech(s)] −1 and the Gaussian distribution ...is the presence of delays and shifts in the Hermite function, and chirp functions are in ... See full document

... With the introduction of modern analytical instrumentation capable of multivariate responses like FTIR spectroscopy, we can have in an easy and rapid way indirect, full-spectrum measurements of the ... See full document

... singular integral operators with anti-commutative Carleman shift and piecewise continuous ...symbols. The convenience of this represen- tation arises from the fact that it allows, in a ... See full document

... quadratic-phase Fourier integral operators (which include, as subcases, ...e.g., the fractional Fourier transform and the linear canonical ...transform). ... See full document

... part by FCT–Portuguese Foundation for Science and Technology through the Center for Research and Development in Mathematics and Applications (CIDMA) of Universidade de Aveiro, within ... See full document

... check the model errors and the prob- lems caused by them in the numerical ...computation. The con- clusion is that discontinuous “on-off” switches neither cause the ... See full document

... with the operator of the Lebedev index transform and its adjoint, which is associated with the square of the Macdonald function [ 5 ], [ 6 ...of the Lebedev ... See full document

... out the relationship of the pulse signal analysis results with the traditional Chinese medicine (TCM) ...short, the results we obtained in this study could lead to a potential means to help ... See full document

... From the transplanted patients, 29 presented rejection processes. The FTIR spectra was acquired from serum samples of non-transplanted (n=38) and transplanted without (n=213) and with ... See full document

... of the previous results and, in particular, the equivalence after ex- tension relation presented in Theorem ...between the Fredholm property of a Wiener-Hopf operator acting on variable ... See full document

... introduced and their properties studied in [3, 4, 5, 25, 31, 32] and other references ...[3] and [5] that the class of w-hyponormal contains both the log- and p-hyponormal ... See full document

... biomass and plasmid concentrations using NIR data from the three cultures ...For the biomass, plasmid and acetate models, the RMSE was calculated based on an independent test ... See full document

... Concerning the depth in her first reflection, there are contents which are only briefly touched upon (for instance, communication of the problem solving procedures), there are others in which she ... See full document

... at the frequency of tens of kHz. It treats the modeling and simulation of WET prototype and its comparison with experimental measuring ...results. The wireless energy transfer system ... See full document