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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 ...
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 ...