Browsing Faculty of Science & Technology (FST) by Title
Now showing items 26472666 of 3734

On some application of algebra and geometry in coding theory
(School of mathematics, 201108)The fundamental problem that led to the development of the theory of error correcting codes was that of having a reliable communication over unreliable channels. A commu nication channel can be as simple as the air ... 
On almost similarity and other related equivalence relations of operators in Hilbert spaces
(University of Nairobi, 201607)In this thesis, we study unitary equivalence, similarity, quasisimilarity, almost similarity and metric equivalence of operators acting on separable Hilbert spaces. We also study the Murrayvon Neumann relation of ... 
On Aluthge Transforms and Spectral Properties of different classes of operators in Hilbert spaces.
(University of Nairobi, 2020)For any linear operator T acting on a Hilbert space H, its Aluthge transform T˜ where T˜ = jTj 12 UjTj 12 is another linear operator on H: It is known that T˜ preserves the spectral properties of T and more importantly ... 
On Application Of Operator And GroupTheoretic Concepts In Signal Processing And Cryptography
(UoN, 2019)In this thesis we have studied how operator theory is applied in signal processing and how some concepts in group theory are crucial in the design of cryptosystems and their use in hiding information. A frame is a redundant ... 
On Applications of Operators and Group  Theoretic Concepts in Signal Processing and Telecommunication
(University of Nairobi, 2017) 
On classification of simple plane curve singularities
(University of Nairobi, 2015)In this pro ject we aim to classify simple plane curve singularities by considering simple plane curve singularities as quotient singularities in C2 by a finite subgroup G ≤ SL(2, C). We also review McKay correspondence ... 
On Decomposition of Operators in Hilbert spaces
(University of Nairobi.School of Mathematics, 1999) 
On econometric modelling and time series models
(School of Mathematics, University of Nairobi, 1997)In this thesis an attempt is made to synthesize time series modelling with econometric models through the notion of duality. More specifically an extension of the type of models presented by Zellner (1979) is attempted ... 
On equivalence of some operators and topology of invariant subspaces
(University of Nairobi, 2018)In this project we investigate the invariant and hyperinvariant subspace lattices of some operators. We give a lattice theoretic description of the lattice of hyperinvariant subspace of an operator in terms of its ... 
On equivalence of some operators in hilbert spaces
(2014)Unitarily equivalence is the natural concept of equivalence between Hilbert space operators. Thus, this concept is the building block of other equivalence relations such as similarity, quasisimilarity, or even metric ... 
On extensions of closable operators for the case of a whole plane, a half plane, a strip or a line
(University of Nairobi, 2015) 
On Finite Gamma Mixtures and Their Properties
(University of Nairobi, 2021)The concept of finite mixture has contributed immensely in search of more flexible distributions that are in a position to capture data heterogeneity. One parameter Lindley distribution as the first case of a finite mixed ... 
On fractional fourier transform and the schrodinger equation of harmonic oscillation
(2005)The Fractional Fourier Transform (FRFT) is a timevarying spectrum analysis technique for nonstationary signals and processes. In recent years it has attracted a considerable amount of attention, resulting in many ... 
On fredholm and weyl operators in hilbert spaces
(School of mathematics, 201108)This project deals with Fredholm, Weyl and Browder operators in Hilbert spaces. Chapter one is t be int.rorl uct.iou part whore not at ions and detin it ions are gIven. Chapter two tackles Fredholm operators by form ... 
On invariance of the numerical range and some classes of operators in Hilbert spaces
(School of Mathematics, University of Nairobi, 2013)In this thesis the invariance of the numerical range under isometric similarity is examined. It is a well known fact that unitarily similar operators have the same numerical range. Chapter one is devoted to basic ... 
On irreducible representations of Sn
(School of mathematics,University of Nairobi, 200906)As mentioned in [8], A group representation can be thought of as an action oi a group G on some vector space. Such actions arise naturally in many branches oi mathematics and physics and as such it is important to study ... 
On Lattices of Some Special Subspaces of Some Operators in Hilbert Spaces
(University of Nairobi, 2021)In this project, we investigate lattices of subspaces (like invariant, reducing and hyperinvariant subspaces among others) of some operators in Hilbert spaces and also give a detailed information on equivalence of operators ... 
On Numerical Ranges of Some Operators in Hilbert Spaces
(University of Nairobi, 2017)In this project, we investigate the numerical ranges of some basic operators. We develop the study of the Numerical ranges of these operators from the study of the resolvent sets, the spectrum(the classical classification ... 
On probability of ruin in retirement based on contribution rates in a pension scheme
(School of Mathematics, University of Nairobi, 2009)The main objective of this dissertation was to show that contribution rates can be used to minimize the probability of financial ruin in retirement within a pension scheme within the Kenyan pension industry and help ... 
On quasiaffinity, equivalence and intersection of some classes of operators in hilbert spaces
(School of Mathematics, University of Nairobi, 2001)In this thesis, chapter one is on introduction, notations and terminology that will be used in the chapters to follow. Also shown is a counter example of a quasiaffinity operator which is not invertible