9 papers
Conjugacy classes of automorphisms of the unit ball in a complex Hilbert space
Rachna Aggarwal, Krishnendu Gongopadhyay, Mukund Madhav Mishra
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…
Fixed points and normal automorphisms of the unit ball of bounded operators on
Rachna Aggarwal, Krishnendu Gongopadhyay, Mukund Madhav Mishra
We examine the group of isometries of the open unit ball of a complex Banach space of certain bounded linear operators equipped with the Carathéodory metric. Therein we obtain a ch…
Group of isometries of the Hilbert ball equipped with the Caratheodory metric
Mukund Madhav Mishra, Rachna Aggarwal
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…
A Neumann type problem on an unbounded domain in the Heisenberg group
Ashutosh Pandey, Mukund Madhav Mishra, Shivani Dubey
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…
On discreteness of subgroups of quaternionic hyperbolic isometries
Krishnendu Gongopadhyay, Mukund Madhav Mishra, Devendra Tiwari
Let denote the -dimensional quaternionic hyperbolic space. The linear group acts by the isometries of . A sub…
On generalized Jørgensen inequality in
Krishnendu Gongopadhyay, Mukund Madhav Mishra, Devendra Tiwari
Wang, Jiang and Cao have obtained a generalized version of the Jørgensen inequality in Proc. Indian Acad. Sci. Math. Sci., 123(2):245--251, 2013, for two generator subgroups of ${\…
Polyharmonic polynomials and mixed boundary value problems in the Heisenberg group
S. Dubey, A. Kumar, M. M. Mishra
We study the polyharmonic Neumann and mixed boundary value problems on the Korányi ball in the Heisenberg group $\H_n$. Necessary and sufficient solvability conditions are obtained…
Neumann boundary value problem in domains of the Heisenberg Group
S. Dubey, A. Kumar, M. M. Mishra
Existence and uniqueness of the solution of the Neumann problem for the Kohn-Laplacian on the Korányi ball of the Heisenberg group are discussed. Explicit representa…
Green's function for certain domains in the Heisenberg Group
Shivani Dubey, Ajay Kumar, Mukund Madhav Mishra
We obtain explicit smooth Green's functions for annular domain and infinite strip by using kelvin -transform in the Heisenberg group $\H_n$.