Gulmirza Kh. Khudaiberganov, Kutlimurot S. Erkinboev, “Some properties of the automorphisms of the classical domain of the first type in the space <nobr>$\mathbb{C}\left[ m\times n \right]$</nobr>”, J. Sib. Fed. Univ. Math. Phys., 2024, Volume 17, Issue 3,Pages <nobr>295

Some properties of the automorphisms of the classical domain of the first type in the space $\mathbb{C}\left[ m\times n \right]$

Gulmirza Kh. Khudaiberganov^a, Kutlimurot S. Erkinboev^b

^a National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan
^b Urgench State University, Urgench, Uzbekistan

Abstract: In this article we obtain an analogue of Theorem 2.2.2 from Rudin's book [6] for classical Cartan domains of the first type.

Keywords: homogeneous domain, symmetric domain, classical domain, automorphism.

UDC: 517.9

Received: 29.09.2023
Received in revised form: 03.10.2023
Accepted: 09.01.2024

Language: English