Seconde solution de la question 569
Solution des questions 586 et 587
La topología de Redfield del grupo reticulado de las medidas regulares sobre un espacio topológico localmente compacto y sigma-compacto.
En este trabajo se estudia la topología de Redfield (R-topología) en el espacio de las medidas finitas y regulares sobre un espacio topológico numerable en el infinito. Para ello debemos estudiar bajo qué condiciones suficientes se puede asegurar que una medida bivalorada es exactamente una carga puntual. En general esta afirmación no es cierta y de ahí las condiciones restrictivas impuestas sobre el tipo de medidas y sobre la naturaleza del espacio topológico en lo que se refiere a la compacidad. ...
The Redfield topology on some groups of continuous functions.
The Redfield topology on the space of real-valued continuous functions on a topological space is studied (we call it R-topology for short). The R-neighbourhoods are described relating them to the connectedness for the carriers. The main results are: If the space is totally disconnected without isolated points, the R-topology is not discrete. Under suitable conditions on the space, R-convergence implies pointwise or uniform convergence. Under some restrictions, R-convergence for a net implies that...
Stochastic signal codification and sigma transform.
In the last years, a relation between bounded real functions of one variable and two-valued probabilistic functions defined on the complex plane has been established through the introduction of the Sigma-Transform concept. The paper presents an extension of the concept of Sigma-Transform, giving rise to the diagonal Sigma-Transform and the Striped Sigma-Transform which, when combined, allow a formal treatment of the Multichannel Stochastic Signal Codification. An application of the method...
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