Abstract. We prove that, if ∆1 is the Hodge Laplacian acting on differential 1forms on the (2n+1)-dimensional Heisenberg group, and if m is a Mihlin-Hörmander multiplier on the positive half-line, with L-order of smoothness greater than n+ 1 2 , then m(∆1) is L-bounded for 1 < p < ∞. Our approach leads to an explicit description of the spectral decomposition of ∆1 on the space of L-forms in ter...

Spatialization is a special kind of visualization that projects multidimensional data into low-dimensional representational spaces by making use of spatial metaphors. Spatialization methods face a dual challenge: on the one hand, to apply dimension reduction techniques in order to overcome the limitations of the representational space, and on the other hand, to provide a metaphoric framework fo...

Spatial Spectrum Estimation with a Maneuvering Sensor Array in a Dynamic Environment by Jonathan L. Odom Department of Electrical and Computer Engineering Duke University

In this paper we present an alternative way to capture multi-spectral images using a conventional trichromatic digital camera combined with either absorption filters or multi-illumination. The goal in this research has focused on reducing the cost and complexity of the image acquisition system while preserving its colorimetric and spectral accuracy. This paper describes this new paradigm and su...

This article proposes an interval-valued extension of kernel density estimation. We show that the imprecision of this interval-valued estimation is highly correlated with the variance of the density estimation induced by the statistical variations of the set of observations.

There are several kinds of methods and underlying models for monophonic fundamental frequency estimation of periodic or semi-periodic signals. The methods operate in various domains (time-, frequencyor joint time-frequency domains). A general structure and few examples of different approaches and their strengths as well as weaknesses are briefly described.

When considering access to healthcare, the question of whether the provider is available and accessible must be answered before the question of cost. Most contemporary techniques of estimating the spatial accessibility of healthcare cannot simultaneously take into account transportation times and the spatially distributed service capacity of healthcare providers. This paper creates the Comprehe...

The paper presents a novel method for improving the estimates of closely-spaced frequencies of a short length signal in additive Gaussian noise based on the Burg algorithm with extrapolation. The proposed method is implemented in two consecutive steps. In the first step, the Burg algorithm is used to estimate the parameters of the predictive filter, while in the second step the extrapolation te...