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    • Browsing Mathematics (MA) by thesis submitted date
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    • Division of Physical and Mathematical Sciences
    • Mathematics (MA)
    • Browsing Mathematics (MA) by thesis submitted date
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    Browsing Mathematics (MA) by thesis submitted date"2016"

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      • Analytic and Entire Vectors for Representations of Lie Groups 

        Kumar, Manish (2018-01-01)
        We start with the recollection of basic results about differential manifolds and Lie groups. We also recall some preliminary terminologies in Lie algebra. Then we define the Lie algebra corresponding to a Lie group. In the ...
      • Curvature Inequalities for Operators in the Cowen-Douglas Class of a Planar Domain 

        Reza, Md. Ramiz (2018-01-04)
      • 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 ...
      • Eigenvalues of Products of Random Matrices 

        Nanda Kishore Reddy, S (2018-02-07)
        In this thesis, we study the exact eigenvalue distribution of product of independent rectangular complex Gaussian matrices and also that of product of independent truncated Haar unitary matrices and inverses of truncated ...
      • Finite Element Analysis of Interior and Boundary Control Problems 

        Chowdhury, Sudipto (2018-06-18)
        The primary goal of this thesis is to study finite element based a priori and a posteriori error estimates of optimal control problems of various kinds governed by linear elliptic PDEs (partial differential equations) of ...
      • 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 ...
      • Kinetic Theory Based Numerical Schemes for Incompressible Flows 

        Ruhi, Ankit (2018-02-07)
        Turbulence is an open and challenging problem for mathematical approaches, physical modeling and numerical simulations. Numerical solutions contribute significantly to the understand of the nature and effects of turbulence. ...
      • Recognition of Structures, Functions and Interactions of Proteins of Pathogens : Implications in Drug Discovery 

        Ramkrishnan, Gayatri (2018-07-14)
        Significant advancements in genome sequencing techniques and other high-throughput initiatives have resulted in the availability of complete sequences of genomes of a large number of organisms, which provide an opportunity ...
      • 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 ...
      • 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 ...

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