The Lebesgue-Nikodým Theorem states that for a Lebesgue measure λ:Σ〖⊂2〗^Ω→[0,∞) an additive set function F:Σ→R which is λ-absolutely continuous is the integral of a Lebegsue integrable a measurable function ...

We introduce a natural and more flexible approach to the definition of vector valued integral that will completely forgo any measurability assumption, strengthen the existing various classical concepts of ...

Polynomials and exponential polynomials play a fundamental role in the theory of spectral analysis and spectral synthesis on commutative groups. Recently several new results have been published in this field. Spectral ...

Human immunodeficiency virus type 1 (HIV-1) Tat is a mediator of viral transcription and is involved in the control of virus replication. However, associations between HIV-1 Tat diversity and functional effects during ...

The effect of three different grain spawns and two substrate sterilization methods on the spawn quality and yield of a hybrid of Pleurotus ostreatus x P. florida (Po x Pf) was studied on maize cobs supplemented with 20% ...

The microbial quality and predominant bacterial groups of three fermented beverages was investigated. The bacteria associated with sorghum beer, sour milk (madila/amasi) and sour maize beverage (mageu/mahewu) were ...

We study the equivalence property of the I- and II-L-Radon-Nikodým property (resp. I- and II-L-complete continuity property) types of Banach spaces. As a by-product, we obtain a proof of the following: F. Lust-Picard’s ...

This paper presents the structural, optical and photoluminescence properties of wet chemically synthesized ZnO: Pd2+ colloidal nanocrystals characterised by X-ray diffraction, scanning electron microscopy/energy-dispersive ...

The purpose of this paper is to give a survey on some recent results concerning spectral analysis and spectral synthesis in the framework of vector modules and in close connection with the Levi-Civita functional equation. ...