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    Browsing Mathematics (MA) by Title

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      • Quasi-analytic Functions, Spherical Means, and Uncertainty Principles on Heisenberg Groups and Symmetric Spaces 

        Ganguly, Pritam
        This thesis has two parts. The first part revolves around certain theorems related to an uncertainty principle and quasi-analyticity. In contrast, the second part reflects a different mathematical theme, focusing on the ...
      • 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 ...
      • Regularity And Propagation Phenomena In Some Linear And Non-Linear Partial Differential Equations With Particular Reference To Microlocal Analysis 

        Jain, Rahul (2011-09-28)
      • Relative Symplectic Caps, Fibered Knots And 4-Genus 

        Kulkarni, Dheeraj (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 ...
      • Representations of Special Compact Linear Groups of Order Two : Construction, Representation Growth, Group Algebras and Branching Laws 

        Hassain, M
        Let o be the ring of integers of a non-Archimedean local field such that the residue field has characteristic p: Let p be the maximal ideal of o: For Char¹oº = 0; let e be the ramification index of o: i.e., 2o = pe: Let ...
      • 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 ...
      • Riemann Roch Theorem For Algebraic Curves 

        Rajeev, B (2011-09-28)
      • 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 ...
      • Risk-Sensitive Stochastic Control and Differential Games 

        Pradhan, Somnath
        This thesis studies risk-sensitive stochastic optimal control and differential game problems. First, we study risk-sensitive stochastic differential games for controlled reflecting diffusion processes in a smooth bounded ...
      • Role of gamma oscillations in processing of natural stimuli 

        Dhruva, Shirhatti Vinay
        Gamma oscillations (~30-80 Hz) are a prominent signature of electrophysiological signals recorded from the brain with proposed roles in various cognitive functions such as attention and visual perception. Although gamma ...
      • The Role Of Potential Theory In Complex Dynamics 

        Bandyopadhyay, Choiti (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 ...
      • Segal-Bargmann Transform And Paley Wiener Theorems On Motion Groups 

        Sen, Suparna (2013-10-08)
      • Semi-Markov Processes In Dynamic Games And Finance 

        Goswami, Anindya (2010-07-01)
        Two different sets of problems are addressed in this thesis. The first one is on partially observed semi-Markov Games (POSMG) and the second one is on semi-Markov modulated financial market model. In this thesis we study ...
      • Shift-like Automorphisms of Ck 

        Bera, Sayani (2018-01-03)
        We use transcendental shift-like automorphisms of Ck, k > 2 to construct two examples of non-degenerate entire mappings with prescribed ranges. The first example exhibits an entire mapping of Ck, k>2 whose range avoids a ...
      • Shortest Length Geodesics on Closed Hyperbolic Surfaces 

        Sanki, Bidyut (2018-01-31)
        Given a hyperbolic surface, the set of all closed geodesics whose length is minimal form a graph on the surface, in fact a so called fat graph, which we call the systolic graph. The central question that we study in this ...
      • Single and Multi-player Stochastic Dynamic Optimization 

        Saha, Subhamay (2018-04-06)
        In this thesis we investigate single and multi-player stochastic dynamic optimization prob-lems. We consider both discrete and continuous time processes. In the multi-player setup we investigate zero-sum games with both ...
      • Software Quality Testing And Remedies 

        Chakraborty, Ashis Kumar (2013-01-18)
      • Some Aspects Of The First Passage Time Problem In Neuroscience 

        Bhupatiraju, Sandeep (2011-08-08)
        In the stochastic modeling of neurons, the first passage time problem arises as a natural object of study when considering the inter spike interval distribution. In this report, we study some aspects of this problem as it ...
      • Some Descriptions Of The Envelopes Of Holomorphy Of Domains in Cn 

        Gupta, Purvi (2011-08-09)
        It is well known that there exist domains Ω in Cn,n ≥ 2, such that all holomorphic functions in Ω continue analytically beyond the boundary. We wish to study this remarkable phenomenon. The first chapter seeks to motivate ...

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