Browsing Mathematics (MA) by thesis submitted date"2010"
Now showing items 1-9 of 9
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Bounded Analytic Functions On The Unit Disc
(2011-08-09)In this thesis, we have dealt primarily with two function algebras. The first one is the space of all holomorphic functions on the unit disc D in the complex plane which are continuous up to the boundary, denoted by A(D). ... -
Exploring Polynomial Convexity Of Certain Classes Of Sets
(2011-07-18)Let K be a compact subset of Cn . The polynomially convex hull of K is defined as The compact set K is said to be polynomially convex if = K. A closed subset is said to be locally polynomially convex at if there ... -
Hand-Movement Prediction Using LFP Data
(2011-08-08)The last decade has seen a surge in the development of Brain-Machine Interfaces (BMI) as assistive neural devices for paralysis patients. Current BMI research typically involves a subject performing movements by controlling ... -
Numerical Study Of Regularization Methods For Elliptic Cauchy Problems
(2011-06-30)Cauchy problems for elliptic partial differential equations arise in many important applications, such as, cardiography, nondestructive testing, heat transfer, sonic boom produced by a maneuvering aerofoil, etc. Elliptic ... -
Some Aspects Of The First Passage Time Problem In Neuroscience
(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
(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 ... -
A Study Of The Metric Induced By The Robin Function
(2013-09-13)Let D be a smoothly bounded domain in Cn , n> 1. For each point p _ D, we have the Green function G(z, p) associated to the standard sum-of-squares Laplacian Δ with pole at p and the Robin constant __ Λ(p) = lim G(z, p) ...