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Now showing items 11-20 of 24
The Role Of Potential Theory In Complex Dynamics
(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 ...
Relative Symplectic Caps, Fibered Knots And 4-Genus
(2014-04-07)
The 4-genus of a knot in S3 is an important measure of complexity, related to the unknotting number. A fundamental result used to study the 4-genus and related invariants of homology classes is the Thom conjecture, proved ...
Vector Bundles Over Hypersurfaces Of Projective Varieties
(2014-06-02)
In this thesis we study some questions related to vector bundles over hypersurfaces. More precisely, for hypersurfaces of dimension ≥ 2, we study the extension problem of vector bundles. We find some cohomological conditions ...
Curvature Calculations Of The Operators In Cowen-Douglas Class
(2014-03-03)
In a foundational paper “Operators Possesing an Open Set of Eigenvalues” written several decades ago, Cowen and Douglas showed that an operator T on a Hilbert space ‘H possessing an open set Ω C of eigenvalues determines ...
Studies On Conducting Polymer Microstructures : Electrochemical Supercapacitors, Sensors And Actuators
(2014-07-03)
With the discovery of conductivity in doped polyacetylene (PA), a new era in synthetic metals has emerged by breaking the traditionally accepted view that polymers were always insulating. Conducting polymers are essentially ...
Studies On Nickel-Titanium Shape Memory Alloy Thin Films For Micro-actuator Applications
(2014-09-09)
Shape memory alloys (SMAs) have been recognized as one of the most promising materials for MEMS micro-actuator applications. Among the available materials, Nickel/Titanium (NiTi) SMAs are more popular because, they exhibit ...
Infinitely Divisible Metrics, Curvature Inequalities And Curvature Formulae
(2014-06-30)
The curvature of a contraction T in the Cowen-Douglas class is bounded above by the
curvature of the backward shift operator. However, in general, an operator satisfying the curvature inequality need not be contractive. ...
Matchings Between Point Processes
(2014-06-20)
Fourier Analysis On Number Fields And The Global Zeta Functions
(2014-08-04)
The study of zeta functions is one of the primary aspects of modern number theory. Hecke was the first to prove that the Dedekind zeta function of any algebraic number field has an analytic continuation over the whole plane ...
Function Theory On Non-Compact Riemann Surfaces
(2014-06-30)
The theory of Riemann surfaces is quite old, consequently it is well developed. Riemann surfaces originated in complex analysis as a means of dealing with the problem of multi-valued functions. Such multi-valued functions ...