Quadratic exponential in modified discrete Fourier transform and shifted Gaussian series

In this paper we consider quadratic exponential in two main constructions: as finite Gauss sums and in connection with modified discrete Fourier transforms and also as basis of series in shifted Gaussians. We study spectral properties of modified Fourier discrete transforms, its eigenspaces and eigenvector

Measurement of tensor polarization of deuterons from He-3 -\u3e d plus p breakup at internal momenta up to 0.4 GeV/c

The tensor polarization (rho 20) of deuterons emitted in the p(He-3, d)X reaction at 0 degrees in the lab. system was measured at the Saturne National Laboratory in Sac lay, using the SPES-4 spectrometer with the HYPOM polarimeter in the area of its focal plane. The momentum of the detected deuterons was kept fixed at 3.77 GeV/c, while the momentum of the He-3 beam was varied from 4.60 to 5.66 GeV/c, thus providing a range of internal momenta k of the deuteron inside the He-3 from 0 up to 0.4 GeV/c. The obtained data are compared with the theoretical predictions

Application of integral transforms composition method (itcm) to obtaining transmutations via integral transforms with bessel functions in kernels

In this paper we apply the Integral Transforms Composition Method (ITCM) in order to derive compositions of integral transforms with Bessel functions in kernels, and obtain norm estimates and other properties of such composition transform

Space of images of the mixed Riesz hyperbolic B-potential and analytic continuation

In this paper we prove semigroup properties for the mixed Riesz hyperbolic B-potential, find its analytic continuation and describe a space of images of mixed hyperbolic Riesz B-potentials. This problem is closely related to the problem of inversion of the weighted Radon transform on Lorentzian manifold

One-Dimensional and Multi-Dimensional Integral Transforms of Buschman–Erdélyi Type with Legendre Functions in Kernels

This paper consists of two parts. In the first part we give a brief survey of results on Buschman–Erdélyi operators, which are transmutations for the Bessel singular operator. Main properties and applications of Buschman–Erdélyi operators are outlined. In the second part of the paper we consider multi-dimensional integral transforms of Buschman–Erdélyi type with Legendre functions in kernels. Complete proofs are given in this part, main tools are based on Mellin transform properties and usage of Fox H-functions

Fractional powers of bessel operator and its numerical calculation

The article discusses the fractional powers of the Bessel operator and their numerical implementation. An extensive literature is devoted to the study of fractional powers of the Laplace operator and their application

Математичне моделювання електричного поля в діелектричних стуктурах

Were obtained suitable for the calculation formulas, which determine the distribution of the electric field generated by the accumulated space charge in dielectric films with different ways of metallization surface.Получены удобные для расчетов соотношения, которые позволяют определить распределение электрического поля, создаваемого накопленным объёмным зарядом в диэлектрических плёнках с разными способами металлизации поверхности.Отримані зручні для розрахунків співвідношення, які дозволяють визначати розподіл електричного поля, що утворюється накопиченим об’ємним зарядом в діелектричних плівках з різними способами металізації поверхні

On recovery of the singular differential Laplace-Bessel operator from the Fourier-Bessel transform

This paper is devoted to the problem of the best recovery of a fractional power of the B-elliptic operator of a function on R₊ᴺby its Fourier-Bessel transform known approximately on a convex set with the estimate of the difference between Fourier-Bessel transform of the function and its approximation in the metri

Upper limits for a narrow resonance in the reaction p + p -> K^+ + (Lambda p)

The reaction pp -> K^+ + (Lambda p) has been measured at T_p = 1.953 GeV and \Theta = 0 deg with a high missing mass resolution in order to study the Lambda p final state interaction. Narrow S = -1 resonances predicted by bag model calculations are not visible in the missing mass spectrum. Small structures observed in a previous experiment are not confirmed. Upper limits for the production cross section of a narrow resonance are deduced for missing masses between 2058 and 2105 MeV/c^2.Comment: 8 pages, 5 figure