Related papers: An arithmetic study of the formal Laplace transfor…
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
This paper has been withdrawn.
This paper has been withdrawn. See published paper http://arxiv.org/math.HO/0512390
This paper has been withdrawn by the author(s), due to double submission. You can find it under: physics/0208019
The aim of this work is to extend and study a family of transformations between Laplace exponents of L\'evy processes which have been introduced recently in a variety of different contexts by Patie, Kyprianou and Patie, and, Gnedin, as well…
In this paper, we introduce and analyze multidimensional vector-valued Laplace transform of functions with values in sequentially complete locally convex spaces. A great number of our results seem to be new even for the functions with…
In this paper we investigate overdetermined systems of scalar PDEs on the plane with one common characteristic, whose general solution depends on 1 function of 1 variable. We describe linearization of such systems and their integration via…
Temporarly withdrawn. Larger version of this review is currently in preparation.
This paper uses the convolution theorem of the Laplace transform to derive new inverse Laplace transforms for the product of two parabolic cylinder functions in which the arguments may have opposite sign. These transforms are subsequently…
Paper withdrawn, see math-ph/0505072
The derivation is studied in relation with the space of Schwartz of functions. This paper has been withdrawn by the author.
This paper has been withdrawn by the author for further investigation.
A discrete Laplace transform and its inversion formula are obtained by using a quadrature of the continuous Fourier transform which is given in terms of Hermite polynomials and its zeros. This approach yields a convergent discrete formula…
Withdrawn; replaced by longer, more detailed paper quant-ph/0010065.
The classical Talbot method for the computation of the inverse Laplace transform is improved for the case where the transform is analytic in the complex plane except for the negative real axis. First, by using a truncated Talbot contour…
This is not a new result. Purpose of this work is to describe a method to search the analytical expression of the general real solution of the two-dimensional Laplace differential equation. This thing is not easy to find in scientific…
The Laplace transform is an algebraic method that is widely used for analyzing physical systems by either solving the differential equations modeling their dynamics or by evaluating their transfer function. The dynamics of the given system…
We discuss several existing proofs of the value of a quartic integral and present a new proof that evolved from rational Landen transformations.
The article is withdrawn. Its content is contained in the final version of arXiv:0805.1634.
This is a supplement to the article "Markov Chain Monte Carlo Based on Deterministic Transformations" available at http://arxiv.org/abs/1106.5850