The Bergman space A2 consists of functions analytic and square integrable on a region of the complex plane. The Berezina transform T of a function in this space is defined as the Berezin transform of the Toeplitz operator. ...
One of the most powerful results in complex analysis is The Riemann Mapping Theorem which states that every non-empty simply connected domain in the complex plane which is not the entire ₵ is biholomorphically equivalent ...
The Koras–Russel cubic threefold is a complex-affine manifold that is diffeo-
morphic to the three-dimensional complex-Euclidean space, but not algebraically
isomorphic to the three dimensional complex-affine space as ...
A balanced-force algorithm for predicting free surface flow with surface tension on
general curvilinear coordinate systems is presented in this thesis. The well-established
Continuum Surface Force (CSF) method is employed ...
One question that arises when we deal with the emotions is the question of what exactly are we dealing with. Students of the emotions disagree on their essentia l features (and disagree about whether there are any essential ...
Let C be a simple closed curve of length L. If C surrounds an area A then L and A are governed by the inequality-- Lr 4TJA----This inequality is called the isoperimetric inequality, and it can be shown that equality holds ...
In this thesis, we consider the magnitude of finite metric spaces and that of compact subsets of Euclidean spaces. We will consider an extension of the definition of finite spaces to compact metric spaces using three ...
Initiated by Riemann and Hilbert, the method of analytic discs is a powerful technique in Several Complex Variables. Such invariants are indeed particularly adapted to the study of CR extension, boundary extension of ...
Predicting the mechanical properties and the microstructural features of metals subjected to severe thermo-plastic deformation processes is of supreme importance in designing novel or enhanced materials. The objective of ...