Let H0 and H be self-adjoint operators in a Hilbert space. We consider the spectral projections of H0 and H corresponding to a semi-infinite interval of the real line. We discuss the index of this pair of spectral projections and prove an identity which extends the Birman-Schwinger principle onto the essential spectrum. We also relate this index to the spectrum of the scattering matrix for the ...

Odd index pairings of K1-group elements with Fredholm modules are of relevance in index theory, differential geometry and applications such as to topological insulators. For the concrete setting of operators on a Hilbert space over a lattice, it is shown how to calculate the resulting index as the signature of a suitably constructed finitedimensional matrix, more precisely the finite volume res...

The paper presents a new approach for detection of moving shadows. The approach is based on the assumption that shadow regions are darker than the corresponding background but have the same chromacity and texture. We use both HSV and RGB color spaces to extract spectral information and combine two texture features to detect moving cast shadows. Firstly, candidate shadow regions are extracted by...

We study the multiply-with-carry family of generators proposed by Marsaglia as a generalization of previous add-with-carry families. We define for them an infinite state space and focus our attention on the (finite) subset of recurrent states. This subset will, in turn, split into possibly several subgenerators. We discuss the uniformity of the d-dimensional distribution of the output of these ...

The SiZer method is extended to nonparametric hazard estimation and also to censored density and hazard estimation. The new method allows quick, visual statistical inference about the important issue of statistically significant increases and decreases in the smooth curve estimate. Instead of being straightforward, this extension has required the opening of a new avenue of research on the inter...

This report summarizes an experiment performed to evaluate the accuracy of the new multi-spectral acquisition system based on a priori spectral analysis followed by wide-band capture combining trichromatic camera and absorption filters. This report will be focused on the multi-spectral capture and spectral estimation based on a new set of complex image representing a painting and a series of pr...

–In this paper a new dynamic phenomenon in nonlinear circuits driven by two sinusoidal signals is investigated. By exploiting state-space analysis, the paper shows that the application of signals with slightly different frequencies enables the phenomenon of chaotic beats to be obtained. Moreover, the power spectral density and the Lyapunov exponents are computed, with the aim of confirming the ...

satellite imagery was used as a rapid and spatially explicit method to delineate crop residue cover and to estimate the use and intensity of conservation tillage. the potential of multispectral high-spatial resolution of worldview-2 local data was evaluated using 11 satellite spectral indices and linear spectral unmixing analysis (lsua). experimental plots were examined; residue cover was measu...

We investigate here how the geometric control theory of Basile, Marro and Wonham can be obtained in a Hilbert space context, as the byproduct of the factorization of a spectral density with no zeros on the imaginary axis. We show how stabilizable and controllability subspaces can be obtained as images of orthogonal projections of coinvariant subspaces onto a semiinvariant (markovian) subspace o...

In this paper we develop a theory for characterizing how deformable a shape is given a sequence of its observations. We define a term called ‘‘deformability index’’ (DI) for shapes. The novelty of the proposed method lies in its ability to separate the effects of observation noise from the underlying non-rigid deformation process. The DI is computed from the tracked positions of a sequence of d...