Browsing Mathematics (MA) by Title

Now showing items 113-132 of 153

    • 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 Aspects of Weighted Kernel Functions on Planar Domains 

      Jain, Aakanksha
      The broad aim of this thesis is to study some aspects of weighted kernel functions. In particular, this thesis has been driven by three principal goals: First, to study the boundary behaviour of weighted Bergman kernels. ...

    • 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 ...

    • Some Mixed Boundary Value Problems Arising In Viscous Flow Theory 

      Manna, Durga Pada (2013-08-08)

    • 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 ...

    • Some results on Spectral spaces and Spectral sequences 

      Ray, Samarpita
      This thesis is made up of two independent parts. We begin the first part by showing that the collection of all prime ideals of a monoid or, in other words, the spectrum of a commutative monoid, endowed with the Zariski ...

    • The Space of Metric Measure Spaces 

      Maitra, Sayantan (2018-05-22)
      This thesis is broadly divided in two parts. In the first part we give a survey of various distances between metric spaces, namely the uniform distance, Lipschitz distance, Hausdor distance and the Gramoz Hausdor distance. ...

    • 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 ...