Mathematics (MA): Recent submissions
Now showing items 101-120 of 154
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Development Of NMR Methods For Metabolomics And Protein Resonance Assignments
(2017-05-25)Nuclear Magnetic Resonance (NMR) spectroscopy is a quantitative, non-invasive and non-destructive technique useful in biological studies. By manipulating the magnetization of nuclei with non-zero spin, NMR gives insights ... -
Grothendieck Inequality
(2016-06-20)Grothendieck published an extraordinary paper entitled ”Resume de la theorie metrique des pro¬duits tensoriels topologiques” in 1953. The main result of this paper is the inequality which is commonly known as Grothendieck ... -
Analyzing Credit Risk Models In A Regime Switching Market
(2016-04-25)Recently, the financial world witnessed a series of major defaults by several institutions and investment banks. Therefore, it is not at all surprising that credit risk analysis have turned out to be one of the most important ... -
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 ... -
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 ... -
Ricci Flow And Isotropic Curvature
(2014-09-03)This thesis consists of two parts. In the first part, we study certain Ricci flow invariant nonnegative curvature conditions as given by B. Wilking. We begin by proving that any such nonnegative curvature implies nonnegative ... -
Fourier Analysis On Number Fields And The Global Zeta Functions
(2014-08-04)The study of zeta functions is one of the primary aspects of modern number theory. Hecke was the first to prove that the Dedekind zeta function of any algebraic number field has an analytic continuation over the whole plane ... -
Infinitely Divisible Metrics, Curvature Inequalities And Curvature Formulae
(2014-06-30)The curvature of a contraction T in the Cowen-Douglas class is bounded above by the curvature of the backward shift operator. However, in general, an operator satisfying the curvature inequality need not be contractive. ... -
Analytic Continuation In Several Complex Variables
(2014-06-30)We wish to study those domains in Cn,for n ≥ 2, the so-called domains of holomorphy, which are in some sense the maximal domains of existence of the holomorphic functions defined on them. We demonstrate that this study ... -
Function Theory On Non-Compact Riemann Surfaces
(2014-06-30)The theory of Riemann surfaces is quite old, consequently it is well developed. Riemann surfaces originated in complex analysis as a means of dealing with the problem of multi-valued functions. Such multi-valued functions ... -
Matchings Between Point Processes
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Vector Bundles Over Hypersurfaces Of Projective Varieties
(2014-06-02)In this thesis we study some questions related to vector bundles over hypersurfaces. More precisely, for hypersurfaces of dimension ≥ 2, we study the extension problem of vector bundles. We find some cohomological conditions ... -
The Role Of Potential Theory In Complex Dynamics
(2014-04-07)Potential theory is the name given to the broad field of analysis encompassing such topics as harmonic and subharmonic functions, the Dirichlet problem, Green’s functions, potentials and capacity. In this text, our main ... -
Joint Eigenfunctions On The Heisenberg Group And Support Theorems On Rn
(2014-04-07)This work is concerned with two different problems in harmonic analysis, one on the Heisenberg group and other on Rn, as described in the following two paragraphs respectively. Let Hn be the (2n + 1)-dimensional Heisenberg ... -
Relative Symplectic Caps, Fibered Knots And 4-Genus
(2014-04-07)The 4-genus of a knot in S3 is an important measure of complexity, related to the unknotting number. A fundamental result used to study the 4-genus and related invariants of homology classes is the Thom conjecture, proved ... -
Curvature Calculations Of The Operators In Cowen-Douglas Class
(2014-03-03)In a foundational paper “Operators Possesing an Open Set of Eigenvalues” written several decades ago, Cowen and Douglas showed that an operator T on a Hilbert space ‘H possessing an open set Ω C of eigenvalues determines ... -
A Study Of The Metric Induced By The Robin Function
(2013-09-13)Let D be a smoothly bounded domain in Cn , n> 1. For each point p _ D, we have the Green function G(z, p) associated to the standard sum-of-squares Laplacian Δ with pole at p and the Robin constant __ Λ(p) = lim G(z, p) ...