Another proof for the continuity of the Lipsman mapping

• Дата: 2020
• Автори: Messaoud, A., Rahali, A.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2020
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/548
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 515.1 We consider the semidirect product $G = K \ltimes V$ where $K$ is a connected compact Lie group acting by automorphisms on a finite dimensional real vector space $V$ equipped with an inner product $\langle , \rangle$. By $\hat G $ we denote the unitary dual of $G$ and by ${\mathfrak{g}^{ \...