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Dilations, Functoinal Model And A Complete Unitary Invariant Of A r-contraction.
(2013-08-02)
A pair of commuting bounded operators (S, P) for which the set
r = {(z 1 +z 2,z 1z 2) : |z 1| ≤1, |z 2| ≤1} C2 is a spectral set, is called a r-contraction in the literature. For a contraction P and a bounded commutant ...
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 ...
The Space of Metric Measure Spaces
(2018-05-22)
This thesis is broadly divided in two parts. In the first part we give a survey of various distances between metric spaces, namely the uniform distance, Lipschitz distance, Hausdor distance and the Gramoz Hausdor distance. ...
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 ...
Positivity preservers forbidden to operate on diagonal blocks
The question of which functions acting entrywise preserve positive semidefiniteness has
a long history, beginning with the Schur product theorem [Crelle 1911], which implies
that absolutely monotonic functions (i.e., ...
Semi-Markov Processes In Dynamic Games And Finance
(2010-07-01)
Two different sets of problems are addressed in this thesis. The first one is on partially observed semi-Markov Games (POSMG) and the second one is on semi-Markov modulated financial market model.
In this thesis we study ...
Spectral Theory And Root Bases Associated With Multiparameter Eigenvalue Problems
(2010-06-01)
Consider
(1) -yn1+ q1y1 = (λr11 + µr12)y1 on [0, 1]
y’1(0) = cot α1 and = y’1(1) = a1λ + b1
y1(0) y1(1) ...