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Now showing items 31-36 of 36
On commuting isometries and commuting isometric semigroups
This thesis consists of two parts- commuting isometries and commuting isometric semigroups. In the first part, we study the Taylor joint spectrum for a pair of commuting isometries in certain cases. We show that the joint ...
Characters of classical groups twisted by roots of unity
This thesis focuses on the study of specialized characters of irreducible polynomial representations of the complex classical Lie groups of types A, B, C and D. We study various specializations where the characters are ...
Harmonic Map Heat Flow and Framed Surface-group Representations
This thesis concerns the construction of harmonic maps from certain non-compact
surfaces into hyperbolic 3-space H3 with prescribed asymptotic behavior and has two
parts.
The focus of the first part is when the domain ...
Some Aspects of Weighted Kernel Functions on Planar Domains
The broad aim of this thesis is to study some aspects of weighted kernel functions. In particular, this thesis has been driven by three principal goals: First, to study the boundary behaviour of weighted Bergman kernels. ...
Dominating surface-group representations via Fock-Goncharov coordinates
Pls see Abstract pdf file
Geometry of normed linear spaces in light of Birkhoff-James orthogonality
In this thesis, we have tried to understand the geometry of normed spaces in the light of Birkhoff-James orthogonality. Using the first two chapters to give introductory notes and to establish relevant notations and ...