On the Schrödinger heat kernel in horn-shaped domains

Heat Kernel Smoothing in Irregular Image Domains

We review heat kernel smoothing techniques for denoising and regressing data in irregularly shaped domains embedded in Euclidean spaces. This is a problem often encountered in functional data analysis and medical imaging. In this chapter, we present a unified mathematical framework based on the eigenfunctions of the Laplace-Beltrami operators defined on irregular domains. Numerical implementati...

Global Heat Kernel Estimates for ∆+∆ in Half-space-like Domains

Suppose that d ≥ 1 and α ∈ (0, 2). In this paper, we establish by using probabilistic methods sharp two-sided pointwise estimates for the Dirichlet heat kernels of {∆+ a∆; a ∈ (0, 1]} on half-space-like C domains for all time t > 0. The large time estimates for half-spacelike domains are very different from those for bounded domains. Our estimates are uniform in a ∈ (0, 1] in the sense that the...

The heat kernel on R

the impact of e-readiness on ec success in public sector in iran the impact of e-readiness on ec success in public sector in iran

acknowledge the importance of e-commerce to their countries and to survival of their businesses and in creating and encouraging an atmosphere for the wide adoption and success of e-commerce in the long term. the investment for implementing e-commerce in the public sector is one of the areas which is focused in government‘s action plan for cross-disciplinary it development and e-readiness in go...

UWB Planar Conical Horn-Shaped Self-Complementary Bow-Tie Antenna

An ultra-wideband (UWB) self-complementary planar bow-tie antenna (SCPBTA) is proposed. The antenna consists of a printed conical horn-shaped (CHS) radiator and a counterpart CHS slot etched on a rectangular ground plane. The printed CHS radiator is connected directly to the 50Ω microstrip line by bending the end portion of the feed line. As a result, the antenna has a simple structure which do...