there are many different ways to subdivide the spectrum of a bounded linear operator; some of them aremotivated by applications to physics (in particular, quantum mechanics). in this study, the relationship betweenthe subdivisions of spectrum which are not required to be disjoint and goldberg's classification are given.moreover, these subdivisions for some summability methods are studied.

This paper proposes statistical analysis of phase-only correlation functions based on linear statistics and directional statistics. We derive the expectation and variance of the phase-only correlation functions assuming phase-spectrum differences of two input signals to be probability variables. We first assume linear probability distributions for the phasespectrum differences. We next assume c...

The phase of a signal conveys critical information for signal interpretation. However, signal phase extraction is not a straightforward process, mainly due to the discontinuities appearing in the phase spectrum. Previously, it was shown that for the application of audio classification, in case features of the processed phase spectrum are combined with magnitude related features they provide hig...

We obtain the hadronic mass spectrum in the ‘bag of bags’ statistical bootstrap model (BBSBM), implementing the colorless state condition, aside of baryon and strangeness conservation, using group projection method. We study the partition function, investigate the properties of dense hadronic matter, and determine the conditions under which the system undergoes a phase transition to a deconfine...

Automatic image segmentation is emerging field in image processing research domain. In a visual scene, the objects which are different from their surroundings get more visual importance and get high gaze attention of the viewer. Saliency detection predicts significantly important regions in a scene, which should be considered for further processing according to specific applications. There are ...

A two-step enhancement method based on spectral subtraction and phase spectrum compensation is presented in this paper for noisy speeches in adverse environments involving non-stationary noise and medium to low levels of SNR. The magnitude of the noisy speech spectrum is modified in the first step of the proposed method by a spectral subtraction approach, where a new noise estimation method bas...