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    Browsing Mathematics (MA) by Title

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      • The Caratheodory-Fejer Interpolation Problems and the Von-Neumann inequality 

        Gupta, Rajeev (2018-05-30)
        The validity of the von-Neumann inequality for commuting $n$ - tuples of $3\times 3$ matrices remains open for $n\geq 3$. We give a partial answer to this question, which is used to obtain a necessary condition for the ...
      • Central and Peripheral Correlates of Motor Planning 

        Rungta, Satya Prakash (2018-02-11)
        A hallmark of human behaviour is that we can either couple or decouple our thoughts, decision and motor plans from actions. Previous studies have reported evidence of gating of information between intention and action that ...
      • Characterization of Brain Signals Across Scales Using Temporally Modulated Visual Stimuli 

        Pramod, Salelkar Siddhesh
        Electrical signals from the brain can be recorded at several different scales, ranging from spiking activity to local field potential (LFP) in animals to scalp electroencephalogram (EEG) in humans. Each signal represents ...
      • Characters of classical groups twisted by roots of unity 

        Kumari, Nishu
        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 ...
      • Compactness Theorems for The Spaces of Distance Measure Spaces and Riemann Surface Laminations 

        Divakaran, D (2018-02-18)
        Gromov’s compactness theorem for metric spaces, a compactness theorem for the space of compact metric spaces equipped with the Gromov-Hausdorff distance, is a theorem with many applications. In this thesis, we give a ...
      • Computation of Sparse Representations of High Dimensional Time Series Data and Experimental Applications 

        Mody, Sandeep K
        Obtaining a sparse representation of high dimensional data is often the first step towards its further analysis. Conventional Vector Autoregressive (VAR) modelling methods applied to such data results in noisy, non-sparse ...
      • Computational Studies on Structures and Functions of Single and Multi-domain Proteins 

        Mehrotra, Prachi (2018-05-25)
        Proteins are essential for the growth, survival and maintenance of the cell. Understanding the functional roles of proteins helps to decipher the working of macromolecular assemblies and cellular machinery of living ...
      • A computational systems biology approach for elucidating molecular features of primary and metastatic melanoma 

        Rahul, S M
        Malignant melanoma, a cancer arising from melanocytes, is reported to have one of the fastest growing incidence rates worldwide, and is considered to be one of the most aggressive human malignancies. According to the ...
      • Controlled Semi-Markov Processes With Partial Observation 

        Goswami, Anindya (2011-09-28)
      • Correlation Functions in the Finite Toom Model 

        Gupta, Himanshu
        This thesis is divided into four chapters. In Chapter 1, we give some basic definitions and results that we need throughout the thesis. In Chapter 2, we describe the pn0;n1q-Toom model and prove some known results about ...
      • Correlations in multispecies asymmetric exclusion processes 

        Pahuja, Nimisha
        The main aim of this thesis is to study the correlations in multispecies exclusion processes inspired by the research of Ayyer and Linusson (Trans. AMS., 2017) where they studied correlations in the multispecies TASEP on ...
      • Curvature Calculations Of The Operators In Cowen-Douglas Class 

        Deb, Prahllad (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 ...
      • Curvature Inequalities for Operators in the Cowen-Douglas Class of a Planar Domain 

        Reza, Md. Ramiz (2018-01-04)
      • Decomposition of the tensor product of Hilbert modules via the jet construction and weakly homogeneous operators 

        Ghara, Soumitra
        Let ­½ Cm be a bounded domain and K :­£­!C be a sesqui-analytic function. We show that if ®,¯ È 0 be such that the functions K® and K¯, defined on ­£­, are non-negative definite kernels, then theMm(C) valued function ...
      • Degree-Regular Triangulations Of The Torus, The Klein Bottle And The Double-Torus 

        Upadhyay, Ashish Kumar (2011-09-28)
      • Development of Efficient Computational Methods for Better Estimation of Optical Properties in Diffuse Optical Tomography 

        Ravi Prasad, K J (2018-04-02)
        Diffuse optical tomography (DOT) is one of the promising imaging modalities that pro- vides functional information of the soft biological tissues in-vivo, such as breast and brain tissues. The near infrared (NIR) light ...
      • 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 ...
      • Dilation Theory of Contractions and Nevanlinna-Pick Interpolation Problem 

        Mandal, Samir Ch
        In this article, we give two different proofs of the existence of the minimal isometric dilation of a single contraction. Then using the existence of a unitary dilation of a contraction, we prove the `von Neumann's ...
      • Dilations, Functoinal Model And A Complete Unitary Invariant Of A r-contraction. 

        Pal, Sourav (2013-08-02)
        A pair of commuting bounded operators (S, P) for which the set r = {(z 1 +z 2,z 1z 2) : |z 1| ≤1, |z 2| ≤1} C2 is a spectral set, is called a r-contraction in the literature. For a contraction P and a bounded commutant ...
      • Dominating surface-group representations via Fock-Goncharov coordinates 

        Barman, Pabitra
        Pls see Abstract pdf file

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