We prove, for two free semicircularly distributed selfadjoint elements a and b in a type II1 von Neumann algebra with faithful trace , that the function t 2 R 7! (exp(a + itb)) is positive de nite. This shows that the BessisMoussa-Vilani conjecture holds for large random matrices in an asymptotic sense.

00 00 u(t-T/2) u (t + T/2) exp(-jwt) dt was introduced by Ville (1), and its significance with respect to the quality of radar measurements was suggested by Woodward (2), and enlarged upon by Siebert (3). For some time we have been studying the mathematical properties of this function-with the hope of ultimately devising the necessary and sufficient conditions that a function of two variables b...

The coordinate-momentum double distribution function ρ(r,p)drdp is calculated in the local density approximation for bosons with positive scattering length a in a trap. The calculation is valid to the first order of a. To clarify the meaning of the result, it is compared for a special case with the double distribution function ρwd rdp of Wigner. Using the local density approximation (LDA) [1,2]...

We consider the reconstruction of a bandlimited function from its finite localized sample data. Truncating the classical Shannon sampling series results in an unsatisfactory convergence rate due to the slow decayness of the sinc function. To overcome this drawback, a simple and highly effective method, called the Gaussian regularization of the Shannon series, was proposed in engineering and has...

We present a numerical method for approximating an indefinite integral by the double exponential sinc method. The approximation error of the proposed method with N integrand function evaluations is O(exp(−c1N/ log(c2N))) for a reasonably wide class of integrands, including those with endpoint singularities. The proposed method compares favorably with the existing formulas based on the ordinary ...

We give an algorithm to compute asymptotic expansions of exp-log functions. This algorithm automatically computes the necessary asymptotic scale and does not suuer from problems of indeenite cancellation. In particular, an asymptotic equivalent can always be computed for a given exp-log function. D eveloppements asymptotiques de fonctions exp-log R esum e Nous pr esentons un algorithme pour le ...

In this article, (3+1)-dimensional generalized Shallow Water-like (gSWl) equation is discussed. The infinitesimal generators of the are derived by using Lie symmetry analysis method. optimal system obtained based on adjoint table equation. Exact solutions constructed applying reduction, Exp <mml:mro...