Near Stein-Weiss Finite Vector Field Groups in Characteristic Nearness Approximation Spaces in the Polar Complex Plane, vi

James F. Peters; Mehmet A. Öztürk

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arXiv · 2504.18557

Near Stein-Weiss Finite Vector Field Groups in Characteristic Nearness Approximation Spaces in the Polar Complex Plane, vi

James F. Peters·Mehmet A. Öztürk

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Abstract

This paper introduces results for characteristically near Stein-Weiss groups inherent in vector fields in the complex plane $\mathbb{C}$. Near groups are discerned in the context of characteristic nearness approximation spaces (cNASs). A characteristic of a Stein-Weiss group is a holomorphic mapping $\varphi:\Omega\in 2^{\mathbb{C}}\to\mathbb{C}$ defined by $\varphi(t)=e^{jt}$, which defines a vector field in the complex plane. All characteristic vectors emanate from the same fixed point in $\mathbb{C}$, namely, 0.

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James F. Peters, Mehmet A. Öztürk. 2025-04-16. Near Stein-Weiss Finite Vector Field Groups in Characteristic Nearness Approximation Spaces in the Polar Complex Plane, vi. https://arxiv.org/abs/2504.18557

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