Cauchy transforms of self-similar measures.
Lund, John-Peter, Strichartz, Robert S., Vinson, Jade P. (1998)
Experimental Mathematics
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Lund, John-Peter, Strichartz, Robert S., Vinson, Jade P. (1998)
Experimental Mathematics
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Joan Verdera (1992)
Publicacions Matemàtiques
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In this note we present a simple proof of a recent result of Mattila and Melnikov on the existence of lim ∫ (ζ - z)dμ(ζ) for finite Borel measures μ in the plane.
Jan K. Pachl (1979)
Colloquium Mathematicae
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Stojan Duborija (2000)
Matematički Vesnik
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Nakhlé Asmar, Stephen Montgomery-Smith (2001)
Studia Mathematica
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We consider an arbitrary locally compact abelian group G, with an ordered dual group Γ, acting on a space of measures. Under suitable conditions, we define the notion of analytic measures using the representation of G and the order on Γ. Our goal is to study analytic measures by applying a new transference principle for subspaces of measures, along with results from probability and Littlewood-Paley theory. As a consequence, we derive new properties of analytic measures as well as extensions...
Thiruvaiyaru V. Panchapagesan (1992)
Czechoslovak Mathematical Journal
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Robert Susmaga, Izabela Szczech (2015)
International Journal of Applied Mathematics and Computer Science
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The paper presents visualization techniques for interestingness measures. The process of measure visualization provides useful insights into different domain areas of the visualized measures and thus effectively assists their comprehension and selection for different knowledge discovery tasks. Assuming a common domain form of the visualized measures, a set of contingency tables, which consists of all possible tables having the same total number of observations, is constructed. These...
K. P. S. Bhaskara Rao, B. V. Rao (1979)
Colloquium Mathematicae
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J. García-Cuerva, J.M. Martell (2001)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Matthew Badger, Raanan Schul (2017)
Analysis and Geometry in Metric Spaces
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A measure is 1-rectifiable if there is a countable union of finite length curves whose complement has zero measure. We characterize 1-rectifiable Radon measures μ in n-dimensional Euclidean space for all n ≥ 2 in terms of positivity of the lower density and finiteness of a geometric square function, which loosely speaking, records in an L2 gauge the extent to which μ admits approximate tangent lines, or has rapidly growing density ratios, along its support. In contrast with the classical...
Stanisław Szufla (2001)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Muhanna, Yusuf Abu, Yallaoui, El-Bachir (2004)
International Journal of Mathematics and Mathematical Sciences
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Artur Bartoszewicz (1978)
Colloquium Mathematicae
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Markus Riedle (2011)
Studia Mathematica
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In this work infinitely divisible cylindrical probability measures on arbitrary Banach spaces are introduced. The class of infinitely divisible cylindrical probability measures is described in terms of their characteristics, a characterisation which is not known in general for infinitely divisible Radon measures on Banach spaces. Further properties of infinitely divisible cylindrical measures such as continuity are derived. Moreover, the classification result enables us to deduce new...