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Articles 1 - 7 of 7
Full-Text Articles in Analysis
The Fine Structure Of The Kasparov Groups Ii: Topologizing The Uct, Claude Schochet
The Fine Structure Of The Kasparov Groups Ii: Topologizing The Uct, Claude Schochet
Mathematics Faculty Research Publications
The Kasparov Groups KK∗(A,B) have a natural structure as pseudopolonais groups. In this paper we analyze how this topology interacts with the terms of the Universal Coefficient Theorem (UCT) and the splitting sof the UCT constructed by J. Rosenberg and the author, as well as its canonical three term decomposition which exists under bootstrap hypotheses. We show that the various topologies on [cursive]Ext^{1}_{ℤ}(K∗(A),K∗(B)) and other related groups mostly coincide. Then we focus attention on the Milnor sequence and the fine structure subgroup of KK∗(A,B). …
Stochastic 2-D Navier-Stokes Equation, J. L. Menaldi, S. S. Sritharan
Stochastic 2-D Navier-Stokes Equation, J. L. Menaldi, S. S. Sritharan
Mathematics Faculty Research Publications
In this paper we prove the existence and uniqueness of strong solutions for the stochastic Navier-Stokes equation in bounded and unbounded domains. These solutions are stochastic analogs of the classical Lions-Prodi solutions to the deterministic Navier-Stokes equation. Local monotonicity of the nonlinearity is exploited to obtain the solutions in a given probability space and this signi cantly improves the earlier techniques for obtaining strong solutions, which depended on pathwise solutions to the Navier-Stokes martingale problem where the probability space is also obtained as a part of the solution.
Separable Preference Orders, Jonathan K. Hodge
Separable Preference Orders, Jonathan K. Hodge
Dissertations
Whenever a decision-maker must express simultaneously his or her preferences on several possibly related issues, the existence of interdependence among these preferences can lead to collective decisions that are unsatisfactory or even paradoxical. Intuitively, an individual’s preferences are said to be separable on a subset of issues if they do not depend on the choice of alternatives for issues outside the subset. Here we explore from a mathematical standpoint the properties of separable and nonseparable preference orders. We begin by formulating a general model of multidimensional preferences and we formally introduce the notions of separability and noninfluentiality. We study the …
On The Approximation Properties Of Partial Sums Of Trigonometric Fourier Series, Ushangi Goginava
On The Approximation Properties Of Partial Sums Of Trigonometric Fourier Series, Ushangi Goginava
Ushangi Goginava
No abstract provided.
On The Approximation Properties Of Cesàro Means Of Negative Order Of Walsh-Fourier Series, Ushangi Goginava
On The Approximation Properties Of Cesàro Means Of Negative Order Of Walsh-Fourier Series, Ushangi Goginava
Ushangi Goginava
No abstract provided.
The Evolution Of Cell Colonies In Volvocacean Algae : Investigation By Theoretical Analysis And Computer Simulation., Frank Noe
Theses
This thesis presents a mathematical analysis and computational simulation which is used to investigate the evolution of cell colonies. The evolutionary transition from unicellular to cell colony form is a prerequesite for multicellular life as it exists abundantly on earth. This transition has occured numerous times independently so that we expect a high selective advantage to be associated with it. The photosynthetic green algae order Volvocaceae is an appropriate set of model organisms for the study of the evolution of cell colonies since it comprises living unicellular organisms, cell colonies, and multicellular organisms of different shapes, sizes and levels of …
Asymptotically Constant Solutions Of Functional Difference Systems, William F. Trench
Asymptotically Constant Solutions Of Functional Difference Systems, William F. Trench
William F. Trench
No abstract provided.