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pro vyhledávání: '"Mishra, Mukund"'
In this article, we consider the ball model of an infinite dimensional complex hyperbolic space, i.e. the open unit ball of a complex Hilbert space centered at the origin equipped with the Caratheodory metric. We consider the group of holomorphic aut
Externí odkaz:
http://arxiv.org/abs/2401.04951
We examine the group of isometries of the open unit ball of a complex Banach space of certain bounded linear operators equipped with the Carath\'eodory metric. Therein we obtain a charactrization of the normal isometries in terms of their special typ
Externí odkaz:
http://arxiv.org/abs/2210.16759
In this article, we study the geometry of an infinite dimensional Hyperbolic space. We will consider the group of isometries of the Hilbert ball equipped with the Carath$\acute{e}$odory metric and learn about some special subclasses of this group. We
Externí odkaz:
http://arxiv.org/abs/2108.05703
We discuss the wellposedness of the Neumann problem on a half-space for the Kohn-Laplacian in the Heisenberg group. We then construct the Neumann function and explicitly represent the solution of the associated inhomogeneous problem.
Externí odkaz:
http://arxiv.org/abs/2105.13261
Let ${{\bf H}_{\mathbb H}}^n$ denote the $n$-dimensional quaternionic hyperbolic space. The linear group ${\rm{Sp}}(n,1)$ acts by the isometries of ${{\bf H}_{\mathbb H}}^n$. A subgroup $G$ of ${\rm {Sp}}(n,1)$ is called \emph{Zariski dense} if it do
Externí odkaz:
http://arxiv.org/abs/1810.00657
Wang, Jiang and Cao have obtained a generalized version of the J\o{}rgensen inequality in Proc. Indian Acad. Sci. Math. Sci., 123(2):245--251, 2013, for two generator subgroups of ${\rm SL}(2, \mathbb C)$ where one of the generators is loxodromic. We
Externí odkaz:
http://arxiv.org/abs/1809.07309
We obtain explicit smooth Green's functions for annular domain and infinite strip by using kelvin $R$-transform in the Heisenberg group $\H_n$.
Externí odkaz:
http://arxiv.org/abs/1308.5643
Autor:
Mishra, Mukund Madhav1 (AUTHOR) mukund@hrc.du.ac.in, Aggarwal, Rachna2 (AUTHOR)
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society. Jul2022, Vol. 45 Issue 4, p1945-1954. 10p.
Akademický článek
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Autor:
Mishra, Mukund Madhav1 (AUTHOR), Pandey, Ashutosh2 (AUTHOR) ashutoshpandey4521@gmail.com
Publikováno v:
Boundary Value Problems. 5/13/2020, Vol. 2020 Issue 1, p1-14. 14p.