Browsing Mathematics (MA) by Title
Now showing items 97-116 of 263
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Invariants Associated with Complete Nevanlinna-Pick Spaces
The broad aim of this thesis is to study certain tuples of bounded operators that satisfy an operator inequality arising from a complete Nevanlinna-Pick kernel. Specifically, we focus on two invariants of these operator ... -
Irreducible Representations Of The Symmetric Group And The General Linear Group
(2013-01-31)Representation theory is the study of abstract algebraic structures by representing their elements as linear transformations or matrices. It provides a bridge between the abstract symbolic mathematics and its explicit ... -
Iterative and direct P;Adic algorithms for exact solution of numerical problems
In this chapter, we have described an O(n³), 2 < P < 3 algorithm for inverting integer matrices using p-adic computations. Some of the important aspects of this method are: (a) Absence of any convergence problems – the ... -
Joint Eigenfunctions On The Heisenberg Group And Support Theorems On Rn
(2014-04-07)This work is concerned with two different problems in harmonic analysis, one on the Heisenberg group and other on Rn, as described in the following two paragraphs respectively. Let Hn be the (2n + 1)-dimensional Heisenberg ... -
Kinematical conservation laws and applications
Study of wave motion is important in the field of fluid mechanics. The equations governing the motion of an inviscid compressible fluid form a hyperbolic system of quasi-linear equations and hence give rise to nonlinear ... -
Kinetic Theory Based Numerical Schemes for Incompressible Flows
(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. ... -
Kobayashi geometry and a metric notion of negative curvature
In this thesis, we study some problems that represent various aspects of Kobayashi geometry. Our problems are, in some sense, motivated by a close examination---which forms a part of this thesis---of a property that may ... -
Learning Filters, Filterbanks, Wavelets and Multiscale Representations
The problem of filter design is ubiquitous. Frequency selective filters are used in speech/audio processing, image analysis, convolutional neural networks for tasks such as denoising, deblurring/deconvolution, enhancement, ... -
Local Projection Stabilization Methods for the Oseen Problem
Finite element approximation of fluid flow problems with dominant convection exhibit spurious oscillations. To eliminate these nonphysical oscillations one needs to incorporate stabilizations that can curb the effect of ... -
Lp-Asymptotics of Fourier Transform Of Fractal Measures
(2018-06-08)One of the basic questions in harmonic analysis is to study the decay properties of the Fourier transform of measures or distributions supported on thin sets in Rn. When the support is a smooth enough manifold, an almost ... -
Mangnetohydrodynamic flow and diffusion in channels or pipes with some physiological applications
Abstract not available -
Mapping class group dynamics, relative character varieties and hyperbolic cone surfaces
This thesis concerns the punctured surface group representations into $\pslr$ and $\pslc$. We study the action of mapping class group on the relative character varieties of punctured surface groups into $\pslr$ and $\pslc$. ... -
Maps Between Non-compact Surfaces
This thesis focuses on studying proper maps between two non-compact surfaces with a particular emphasis on the topological rigidity and the Hopfian property. Topological rigidity is the property that every homotopy equivalence ... -
Matchings Between Point Processes
(2014-06-20) -
Mathematical models of some physiological system
This thesis presents some theoretical investigations on certain problems concerning the respiratory, excretory, and circulatory systems in human physiology, from a fluid mechanics point of view. It consists of an introductory ... -
Mathematical theory of the propagation of multidimensional shock and nonlinear waves
This thesis embodies the results of our investigation on a mathematical discussion of hyperbolic nonlinear waves under the high frequency approximation. It is divided into four chapters, of which Chapter I is the introduction ... -
Mechanising knot Theory
(2018-01-31)Mechanisation of Mathematics refers to use of computers to generate or check proofs in Mathematics. It involves translation of relevant mathematical theories from one system of logic to another, to render these theories ...