Mathematics (MA): Recent submissions

Now showing items 101-120 of 162

    • Analysis of Proportional Navigation Class of Guidance Law against Agile Targets 

      Ghosh, Satadal (2017-12-12)
      Guidance is defined as the determination of a strategy for following a nominal path in the presence of o-nominal conditions, disturbances and uncertainties, and the strategy employed is called a guidance law. Variants of ...

    • Some Problems in Multivariable Operator Theory 

      Sarkar, Santanu (2017-12-10)
      In this thesis we have investigated two different types of problems in multivariable operator theory. The first one deals with the defect sequence for contractive tuples and maximal con-tractive tuples. These condone deals ...

    • An Introduction to Minimal Surfaces 

      Ram Mohan, Devang S (2017-12-10)
      In the first chapter of this report, our aim is to introduce harmonic maps between Riemann surfaces using the Energy integral of a map. Once we have the desired prerequisites, we move on to show how to continuously deform ...

    • Study of Optimal Control Problems in a Domain with Rugose Boundary and Homogenization 

      Sardar, Bidhan Chandra (2017-12-10)
      Mathematical theory of partial differential equations (PDEs) is a pretty old classical area with wide range of applications to almost every branch of science and engineering. With the advanced development of functional ...

    • Goldman Bracket : Center, Geometric Intersection Number & Length Equivalent Curves 

      Kabiraj, Arpan (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 ...

    • Toward Computationally Efficient Models for Near-infrared and Photoacoustic Tomographic Imaging 

      Bhatt, Manish (2017-11-28)
      Near Infrared (NIR) and Photoacoustic (PA) Imaging are promising imaging modalities that provides functional information of the soft biological tissues in-vivo, with applica-tions in breast and brain tissue imaging. These ...

    • Homogenization of Optimal Control Problems in a Domain with Oscillating Boundary 

      Ravi Prakash, * (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 ...

    • On The Structure of Proper Holomorphic Mappings 

      Jaikrishnan, J (2017-09-28)
      The aim of this dissertation is to give explicit descriptions of the set of proper holomorphic mappings between two complex manifolds with reasonable restrictions on the domain and target spaces. Without any restrictions, ...

    • Development Of NMR Methods For Metabolomics And Protein Resonance Assignments 

      Dubey, Abhinav (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 

      Ray, Samya Kumar (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 

      Banerjee, Tamal (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 

      Sanjay, P K (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 

      Balakumar, G P (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 

      Gururaja, H A (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 

      Fernandes, Jonathan (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 

      Keshari, Dinesh Kumar (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 

      Biswas, Chandan (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 

      Philip, Eliza (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 

      Jana, Indrajit (2014-06-20)

    • Vector Bundles Over Hypersurfaces Of Projective Varieties 

      Tripathi, Amit (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 ...