In [1], R. A. Kunze has presented a notion of generalized Fourier transform of functions on locally compact abelian groups. The point of this paper is to extend this idea in the direction of distribution theory and to present some initial results on this generalized Fourier transform of distributions. In a later paper we hope to investigate in detail the domain, range, and kernel of this transf...

This article provides a contemporary exposition at amoderately quantitative level of the distribution theory associated with the matching and the birthday problems. A large number of examples, many not well known, are provided to help a reader have a feeling for these questions at an intuitive level. © 2004 Elsevier B.V. All rights reserved.

Individuals may join groups for several reasons, one of which is the possibility of sharing information about the quality of a foraging area. Sharing information in a patch-foraging scenario gives each group member an opportunity to make a more accurate estimate of the quality of the patch. In this paper we present a mathematical model in which we study the effect of group size on patch-leaving...

exists. The function f is continuously differentiable when it is differentiable and f ′ is continuous. A k-times continuously differentiable function is C, and a continuous function is C. A V -valued function f is weakly C when for every λ ∈ V ∗ the scalar-valued function λ◦ f is C. This sense of weak differentiability of a function f does not refer to distributional derivatives, but to differe...

this paper presents a mathematical model that could assist in measuring, monitoring and controlling tem-perature variation in cold and ‘red-hot’ metal working conditions of machining. a numerical analysis tech-nique of the temperature distribution, based on the theory of complex applied potential, was carried out using the principles of relationship analysis between the paths of heat supply in ...

the main objective of this paper is to examine the impact of economic growth on coefficient of cardinal welfare in iran’s economy. hence, we employ the bayesian approach and the estimation of forward and backward density functions in order to measure the effect of economic growth spillovers on the social welfare. the paper has applied the gibbs sampling algorithm which is a rigorous tool for fo...

We studied the effect of low-pass band filters on the dynamics of a nonisothermal autocatalator as seen through feedback on a system parameter. Filters were created by selecting Fourier coefficients for the modes in the pass band according to a uniform distribution. Numerical simulations over many realizations of feedback were compared to theoretical predictions for the feedback size as a funct...

We introduce a family of q-analogues of the binomial distribution, which generalises the Stieltjes-Wigert-, Rogers-Szegö-, and Kemp-distribution. Basic properties of this familiy are provided and several convergence results involving the classical binomial, Poisson, discrete normal distribution, and a family of q-analogues of the Poisson distribution are established. These results generalise co...

Article history: Variations in Earth's rates of s Received 29 September 2008 Received in revised form 2 December 2008 Accepted 2 December 2008 Available online 21 January 2009 Editor: R.D. van der Hilst

Dutta and Mukhopadhyay have recently proposed some very efficient selfhealing key distribution schemes with revocation. The parameters of these schemes contradict some results (lower bounds) presented by Blundo et al. In this paper different attacks against the schemes of Dutta and Mukhopadhyay are explained: one of them can be easily avoided with a slight modification in the schemes, but the o...