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A Representation Theorem for Smooth Brownian Martingales
Continuous Martingales Malliavin Calculus Probabilistic Methods for Partial Differential Equations
2012/5/24
We show that, under certain smoothness conditions, a Brownian martingale at a fixed time can be represented as an exponential of its value at a later time. The time-dependent generator of this exponen...
Triple Representation Theorem for orthocomplete homogeneous effect algebras
homogeneous effect algebra orthocomplete effect algebra meager-orthocomplete effect algebra lattice effect algebra center
2012/4/18
The aim of our paper is twofold. First, we thoroughly study the set of meager elements $M(E)$, the set of sharp elements $S(E)$ and the center $C(E)$ in the setting of meager-orthocomplete homogeneous...
Triple Representation Theorem for homogeneous effect algebras
Homogeneous effect algebra TRT-effect algebra orthocomplete effect algebra lattice effect algebra
2012/4/18
The aim of our paper is to prove the Triple Representation Theorem, which was established by Jen\v{c}a in the setting of complete lattice effect algebras, for a special class of homogeneous effect alg...
Some Representation Theorem for nonreflexive Banach space ultrapowers under the Continuum Hypothesis
Banach space ultrapowers Stone-Cech remainder dual space extreme points smooth points complemented subspaces
2011/8/31
Abstract: In this paper it will be shown that assuming the Continuum Hypothesis (CH) every nonreflexive Banach space ultrapower is isometrically isomorphic to the space of continuous, bounded and real...
A Representation Theorem for Seneta Sequences
Regularly varying functions and sequence Seneta functions and sequences Representation theorem
2007/12/12
In this paper, we prove some properties of the Seneta sequences and functions, and in particular we prove a representation theorem in the Karamata sense for the sequences from the Seneta class $SO_c$.
A Stone's Representation Theorem and Some Applications
Boolean ring Boolean space Stone space Stone representation bounded finitely additive set function countably additive set function convergence of sequences of measures weak topology
2010/3/3
In this paper, we prove the following form of Stone's representation theorem: Let \sum be a s-algebra of subsets of a set X. Then there exists a totally disconnected compact Hausdorff space {\cal K} f...