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In this work, we propose the rings of differential operators are simple and for this proposition we can generalize the results of Jones in 1995. In fact, this work is complement to the results of Mahmood in 2006.

Subjects / keywords: Mathematics

Subjects / keywords: Mathematics; Linear operators; Characterization (materials science); Pure mathematics; Operator theory; Algebra over a field; Applied mathematics; Mathematical analysis; Physics; Optics; Bounded function

In this paper we present a theoretical framework and numerical comparisons for a wavelet-based algorithm associated with both method of lines and wavelets for solving some partial differential equations. In particular, w...

For a semisimple Lie group G satisfying the equal rank condition, the most basic family of unitary irreducible representations is the Discrete Series found by Harish-Chandra. In this paper, we continue our study of the b...

Abstract In this paper, we present novel characterizations of weights for dynamic Hardy-type inequalities on time scales. In the continuous case, our findings correspond to the classical discrete inequalities established...

This paper presents an innovative parallel computational methodology employing adaptive fractional differential operators to address Monkeypox epidemiological modeling challenges. The complex dynamics of such models ofte...

In this article we present some probably unexpected (in our opinion) properties of representations of Yang-Mills algebras. We first show that any free Lie algebra with m generators is a quotient of the Yang-Mills algebra...

In this paper, we aim to establish several properties and notions for interpolative metric spaces and to introduce the idea of a Hausdorff interpolative metric space. Through the formulation of the key principles of Haus...

In the quest to realize analog signal processing using subwavelength metasurfaces, in this paper, we present the first demonstration of programmable time-modulated metasurface processors based on the key properties of sp...

In [1] we associated an algebra 1.A/ to every bornological algebra A and an ideal IS.A/ C 1.A/ to every symmetric ideal S C `1. We showed that IS.A/ has K-theoretical properties which are similar to those of the usual ...

The “time-and-band limiting” commutative property was found and exploited by D. Slepian, H. Landau and H. Pollak at Bell Labs in the 1960´s, and independently by M. Mehta and later by C. Tracy and H. Widom in Random...

In this study, we examine the uniqueness conditions for solutions of fractal differential equations using the Krasnoselskii-Krein uniqueness theorem. The analysis establishes sufficient criteria that guarantee the existe...