Search
Now showing items 41-50 of 58
Goldman Bracket : Center, Geometric Intersection Number & Length Equivalent Curves
(2017-11-30)
Goldman [Gol86] introduced a Lie algebra structure on the free vector space generated by the free homotopy classes of oriented closed curves in any orientable surface F . This Lie bracket is known as the Goldman bracket ...
Homogenization of Optimal Control Problems in a Domain with Oscillating Boundary
(2017-11-27)
Mathematical theory of homogenization of partial differential equations is relatively a new area of research (30-40 years or so) though the physical and engineering applications were well known. It has tremendous applications ...
Weighted Norm Inequalities for Weyl Multipliers and Hermite Pseudo-Multipliers
(2018-05-30)
In this thesis we deal with two problems in harmonic analysis. In the first problem we discuss weighted norm inequalities for Weyl multipliers satisfying Mauceri’s condition. As an application, we prove certain multiplier ...
Dynamical Properties of Families of Holomorphic Mappings
(2018-06-08)
Thesis Abstract
In the first part of the thesis, we study some dynamical properties of skew products of H´enon maps of C2 that are fibered over a compact metric space M . The problem reduces to understanding the dynamical ...
Some Descriptions Of The Envelopes Of Holomorphy Of Domains in Cn
(2011-08-09)
It is well known that there exist domains Ω in Cn,n ≥ 2, such that all holomorphic functions in Ω continue analytically beyond the boundary. We wish to study this remarkable phenomenon. The first chapter seeks to motivate ...
The Green's Function, the Bergman Kernel and Quadrature Domains in Cn
(2018-06-08)
In the first part of this thesis, we prove two density theorems for quadrature domains in Cn ,n≥2. It is shown that quadrature domains are dense in the class of all product domains of the form D×Ωwhere D⊂Cn−1 is a smoothly ...
Bounded Analytic Functions On The Unit Disc
(2011-08-09)
In this thesis, we have dealt primarily with two function algebras. The first one is the space of all holomorphic functions on the unit disc D in the complex plane which are continuous up to the boundary, denoted by A(D). ...
Rigidity And Regularity Of Holomorphic Mappings
(2015-07-16)
We deal with two themes that are illustrative of the rigidity and regularity of holomorphic
mappings.
The first one concerns the regularity of continuous CR mappings between smooth pseudo convex, finite type hypersurfaces ...
Riesz Transforms Associated With Heisenberg Groups And Grushin Operators
(2015-12-08)
We characterise the higher order Riesz transforms on the Heisenberg group and also show that they satisfy dimension-free bounds under some assumptions on the multipliers. We also prove the boundedness of the higher order ...
Matchings Between Point Processes
(2014-06-20)