Continuous Spectra of Generalized Kronig–Penney Model

Generalized Rings of Measurable and Continuous Functions

This paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.

Generalized Continuous Frames for Operators

In this note, the notion of generalized continuous K- frame in a Hilbert space is defined. Examples have been given to exhibit the existence of generalized continuous $K$-frames. A necessary and sufficient condition for the existence of a generalized continuous $K$-frame in terms of its frame operator is obtained and a characterization of a generalized continuous $K$-frame for $ mathcal{H} $ wi...

A Generalized Continuous Model for Random Markets

In the last years, different techniques and models from statistical physics are being successfully applied to explain some real data observed in economy [1]. Concretely, it has been reported that western (capitalistic) economies can be divided into two distinct groups according to the incomes of people [2]. The 95% of the population, the middle and lower economic classes of society, arranges th...

Monadic generalized spectra

Generalized Cohomology of Pro-spectra

We present a closed model structure for the category of pro-spectra in which the weak equivalences are detected by stable homotopy pro-groups. With some bounded-below assumptions, weak equivalences are also detected by cohomology as in the classical Whitehead theorem for spectra. We establish an Atiyah-Hirzebruch spectral sequence in this context, which makes possible the computation of topolog...