This article presents a unified approach to the abstract notions of partial convolution and involution in $L^p$-function spaces over semi-direct product of locally compact groups. Let $H$ and $K$ be locally compact groups and $tau:Hto Aut(K)$ be a continuous homomorphism.  Let $G_tau=Hltimes_tau K$ be the semi-direct product of $H$ and $K$ with respect to $tau$. We define left and right $tau$-c...

the weighted semigroup algebra mb (s, w) is studied via its identification with mb (s) together with a weighted algebra product *w so that (mb (s, w), *) is isometrically isomorphic to (mb (s), *w). this identification enables us to study the relation between regularity and amenability of mb (s, w) and mb (s), and improve some old results from discrete to general case.

Accelerating an Analytical Approach to Collateralized Debt Obligation Pricing Dharmendra Prasad Gupta Master of Applied Science Graduate Department of Electrical and Computer Engineering University of Toronto 2009 In recent years, financial simulations have gotten computationally intensive due to larger portfolio sizes, and an increased demand to perform real-time risk analysis. In this paper, ...

In this paper, for the first time, a comprehensive experimental study is performed on hydroforming process of metallic bellows. For this purpose, the effects of the main process parameters and their interactions on the characteristics of hydroformed metallic bellows are investigated using Response Surface Methodology (RSM). The selected parameters as input variables are internal pressure, die s...

We discuss the determination of workspaces of discretely ac-tuated manipulators using convolution of real-valued functions on the Special Euclidean Group. Each workspace is described in terms of a density function that provides for any unit taskspace volume of the workspace the number of reachable frames therein. A manipulator consisting of n discrete actuators each with K states can reach K n ...

abstract in this presentation, a case of bilateral choroidal folds in patient with diabetic retinopathy was reported. by our knowledge, this case presentation is the first report of choroidal folds in diabetic retinopathy, which bilateral symmetric and horizontal folds arranged in macula. the thick choroid that is developed in diabetics may be a cause of these folds but the source of difference...

Let μ be a self-similar measure on R generated by an equicontractive iterated function system. We prove that the Hausdorff dimension of μ∗n tends to 1 as n tends to infinity, where μ∗n denotes the n-fold convolution of μ. Similar results hold for the Lq dimension and the entropy dimension of μ∗n.

Risk aggregation is a popular method used to estimate the sum of a collection of financial assets or events, where each asset or event is modelled as a random variable. Applications include insurance, operational risk, stress testing, and sensitivity analysis. In practice the sum of a set of random variables involves the use of two well-known mathematical operations: n-fold convolution (for a f...

In this article, we aim to describe a new operator J_(s,a,μ)^(δ,λ) via convolution. Moreover, present subclass C_Σm (τ;β) related m-fold symmetric bi-univalent functions in the open unit disk Θ={z∈C∶|z| ˂ 1 }. Finally, an estimate Hankel determinant for are given.

The preovulatory luteinizing hormone (LH) surge results from the integration of complex interactions among gonadal steroids and hypothalamic and pituitary hormones. To evaluate changes in LH secretory dynamics that occur during the rat LH surge, we have 1) obtained frequently sampled serum LH concentration time series, 2) used both waveform-dependent and waveform-independent convolution analyse...