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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…
Cohomological Equation on the Discrete Heisenberg Group
M. E. Egwe
Let $\h_1$ be the one-dimensional Heisenberg group. In this paper, we consider some aspects of discrete dynamical systems on $\h_1$ and give a condition for the solution of a cohom…
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.
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 a…
Quaternionic Spherical Fourier Multipliers for Gelfand Pairs
O. A. Ariyo, M. E. Egwe
Let denote the quaternionic Heisenberg group with stratification and a compact subgroup of Automorphism. We construct the spheri…
A New Spherical Harmonics on the Heisenberg Group
M. E. Egwe
Let $\h_n$ be the -dimensional Heisenberg group. and let be the sublaplacian of the Lie algebra of $\h_n$ A new spherical harmonics with its orthogonal polynom…