Search
Now showing items 1-10 of 12
Joint Eigenfunctions On The Heisenberg Group And Support Theorems On Rn
(2014-04-07)
This work is concerned with two different problems in harmonic analysis, one on the Heisenberg group and other on Rn, as described in the following two paragraphs respectively.
Let Hn be the (2n + 1)-dimensional Heisenberg ...
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 ...
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 ...