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    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 ...

    On the Kobayashi geometry of domains 

    Maitra, Anwoy
    In this thesis we study questions broadly related to the Kobayashi (pseudo)distance and (pseudo)metric on domains in ℂn. Specifically, we study the following subjects: Estimates for holomorphic images of subsets in convex ...

    Sparse bounds for various spherical maximal functions 

    Hait, Sourav
    Harmonic analysis mainly deals with the qualitative and quantitative properties of functions and transforms of those functions. It has applications in various areas of Mathematics like PDE, Differential geometry, Ergodic ...

    Geometric invariants for a class of submodules of analytic Hilbert modules 

    Sen, Samrat
    Let $\Omega \subseteq \mathbb C^m$ be a bounded connected open set and $\mathcal H \subseteq \mathcal O(\Omega)$ be an analytic Hilbert module, i.e., the Hilbert space $\mathcal H$ possesses a reproducing kernel $K$, the ...

    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 ...

    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 ...

    A Study of Some Conformal Metrics and Invariants on Planar Domains 

    Sarkar, Amar Deep
    The main aim of this thesis is to explain the behaviour of some conformal metrics and invariants near a smooth boundary point of a domain in the complex plane. We will be interested in the invariants associated to the ...

    Duality for Spaces of Holomorphic Functions into a Locally Convex Topological Vector Space 

    Sehgal, Kriti
    Consider an open subset O of the complex plane and a function f : O ÝÑ C. We understand the concept of holomorphicity of a complex-valued function. Suppose a function f defined on O takes values in a locally convex ...

    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 ...

    Trace Estimate For The Determinant Operator And K- Homogeneous Operators 

    Pramanick, Paramita
    Let $\boldsymbol T=(T_1, \ldots , T_d)$ be a $d$- tuple of commuting operators on a Hilbert space $\mathcal H$. Assume that $\boldsymbol T$ is hyponormal, that is, $\big [\!\!\big [ \boldsymbol T^*, \boldsymbol T \big ]\!\! ...
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    AuthorBiswas, Anindya (1)Ganguly, Pritam (1)Gehlawat, Sahil (1)Ghara, Soumitra (1)Gupta, Himanshu (1)Hait, Sourav (1)Hassain, M (1)Krishna Teja, G V (1)Kumar, Rakesh (1)Lakshmi Priya, M E (1)... View MoreSubject
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