We study, for some subsets I of N*, the Banach space E of bounded real sequences {xn}n∈I. For any integer k, we introduce a measure over (E,B(E)) that generalizes the k-dimensional Lebesgue measure; consequently, also a theory of integration is defined. The main result of our paper is a change of variables' formula for the integration
Abstract. A detailed theory of stochastic integration in UMD Banach spaces has been developed recent...
We study the complexity of Banach space valued integration in the randomized setting. We are concern...
One of the major characterizations for a real valued function to be Riemann integrable is that the f...
In this paper we study, for some subsets I of N^{ 17}, the Banach space E of bounded real sequences ...
1noIn this paper we study, for any subset $I$ of $mathbf{N}^{ast}$ and for any strictly positive in...
We study, for any positive integer k and for any subset I of N⁎, the Banach space EI of the bounded ...
In this paper we study, for any subset\ $I$\ of $\mathbf{N}^{\ast}$ and for any strictly positive i...
AbstractWe present a domain-theoretic framework for measure theory and integration of bounded real-v...
We present a domain-theoretic framework for measure theory and integration of bounded real-valued fu...
A breakthrough approach to the theory and applications of stochastic integration The theory of stoch...
This note illustrates that the saturation property of a probability space can be used to routinely g...
Includes bibliographical references.The theory of Lebesgue integration is a more satisfactory theory...
The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, ...
Abstract. A detailed theory of stochastic integration in UMD Banach spaces has been developed recent...
Delft Institute of Applied MathematicsElectrical Engineering, Mathematics and Computer Scienc
Abstract. A detailed theory of stochastic integration in UMD Banach spaces has been developed recent...
We study the complexity of Banach space valued integration in the randomized setting. We are concern...
One of the major characterizations for a real valued function to be Riemann integrable is that the f...
In this paper we study, for some subsets I of N^{ 17}, the Banach space E of bounded real sequences ...
1noIn this paper we study, for any subset $I$ of $mathbf{N}^{ast}$ and for any strictly positive in...
We study, for any positive integer k and for any subset I of N⁎, the Banach space EI of the bounded ...
In this paper we study, for any subset\ $I$\ of $\mathbf{N}^{\ast}$ and for any strictly positive i...
AbstractWe present a domain-theoretic framework for measure theory and integration of bounded real-v...
We present a domain-theoretic framework for measure theory and integration of bounded real-valued fu...
A breakthrough approach to the theory and applications of stochastic integration The theory of stoch...
This note illustrates that the saturation property of a probability space can be used to routinely g...
Includes bibliographical references.The theory of Lebesgue integration is a more satisfactory theory...
The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, ...
Abstract. A detailed theory of stochastic integration in UMD Banach spaces has been developed recent...
Delft Institute of Applied MathematicsElectrical Engineering, Mathematics and Computer Scienc
Abstract. A detailed theory of stochastic integration in UMD Banach spaces has been developed recent...
We study the complexity of Banach space valued integration in the randomized setting. We are concern...
One of the major characterizations for a real valued function to be Riemann integrable is that the f...
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