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math.FA2025

On Dirichlet Spaces of Homogeneous Type Via Heat Kernel

J. I. Opadara, M. E. Egwe

This paper considers the properties of Dirichlet Spaces of Homogeneous type which consist of band limited functions that are nearly exponential localizations on Thi…

math.FA2025

Invariant Differential Operators on the Heisenberg Group

M. E. Egwe

In this paper, we elucidate certain properties of the -dimensional Heisenberg group, and establish some theorems on the invariant differential operators on the group.

math.FA2025

A Note on Some Classes of Function Algebras

Murphy E. Egwe, Funke Yusuf

In this note, we establish some new results on some special types of function algebras and also give new proofs to some existing ones

math.FA2025

Grushin Operator on Infinite Dimensional Homogeneous Lie Groups

M. E. Egwe, J. I. Opadara

A collection of infinite dimensional complete vector fields acting on a locally convex manifolds on which a smooth positive measure is…

math.FA2025

Counter Examples in Non-Archimedean Locally Convex Spaces

M. E. Egwe, J. A Braimah

In this paper, we shall consider some counter examples in non-archimedean locally convex spaces with special closed subspaces and Schauder basis in non-archimedean Fréchet spaces…

math.FA2025

Equivalence of Quaternionic Heisenberg Homogeneous Quasi-norms

A. O. Ariyo, M. E. Egwe

Let denote the quaternionic Heisenberg group of dimension with stratification. We identify certain homogeneous norms on the…