This paper presents the Gaussian subordination framework to generate optimal one-sided approximations to multidimensional real-valued functions by functions of prescribed exponential type. Such extremal problems date back to the works of Beurling and Selberg and provide a variety of applications in analysis and analytic number theory. Here we majorize and minorize (on RN ) the Gaussian x 7→ e−π...

This paper demonstrates a non-Fourier prediction methodology of triple-layer human skin tissue for determining burn injury with non-ideal properties tissue, metabolism and blood perfusion. The dual-phase lag (DPL) bioheat model is employed solved using joint integral transform (JIT) through Laplace Fourier transforms methods. Parametric studies on the effects properties, initial temperature, pe...

Viscoelastic material behavior is often characterized using one of the three measurements: creep, stress-relaxation or dynamic sinusoidal tests. A two-stage numerical method was developed to allow representation of data from creep and stress-relaxation tests on the Fourier axis in the Laplace domain. The method assumes linear behavior and is theoretically applicable to any transient test which ...

In the setting of ‘‘affine’’ jump-diffusion state processes, this paper provides an analytical treatment of a class of transforms, including various Laplace and Fourier transforms as special cases, that allow an analytical treatment of a range of valuation and econometric problems. Example applications include fixed-income pricing models, with a role for intensity-based models of default, as we...

The probabilistic interpretation of Laplace transforms is used to help describe the Transform $L(s)$ improper random variables. In particular, busy periods in queueing models are examined. value $L(0)$ explained certain special cases.

The fuzzy transform (F -transform for short) is a universal tool for a fuzzy modeling with convincing applications to image processing. The aim of this contribution is to explain the effect of the F transform in image processing. With this purpose, we investigate properties of the Fourier transform over the F -transform components. We prove that the direct F -transform is a low-pass filter. Thi...