Completely monotone families of solutions of -th order linear differential equations and infinitely divisible distributions
Philip Hartman (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Philip Hartman (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Kvinikadze, G. (1999)
Memoirs on Differential Equations and Mathematical Physics
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Lj. Kočinac (1991)
Matematički Vesnik
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Marko Švec (1967)
Colloquium Mathematicae
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Šćepanović, R.L. (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Uwe Franz (2006)
Banach Center Publications
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Recently, Bercovici has introduced multiplicative convolutions based on Muraki's monotone independence and shown that these convolution of probability measures correspond to the composition of some function of their Cauchy transforms. We provide a new proof of this fact based on the combinatorics of moments. We also give a new characterisation of the probability measures that can be embedded into continuous monotone convolution semigroups of probability measures on the unit circle and...
Ian Stares (1995)
Commentationes Mathematicae Universitatis Carolinae
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We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn theorem for monotonically normal spaces as well as answer a question due to San-ou concerning the extension of Urysohn functions in monotonically normal spaces. We also extend a result of van Douwen, giving a characterisation of -spaces in terms of semi-continuous functions, as well as answer another question of San-ou concerning semi-continuous Urysohn functions.
Takahiro Hasebe (2010)
Studia Mathematica
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We study how a property of a monotone convolution semigroup changes with respect to the time parameter. Especially we focus on "time-independent properties": in the classical case, there are many properties of convolution semigroups (or Lévy processes) which are determined at an instant, and moreover, such properties are often characterized by the drift term and Lévy measure. In this paper we exhibit such properties of monotone convolution semigroups; an example is the concentration...
Sameer Chavan, V. M. Sholapurkar (2015)
Studia Mathematica
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Motivated by some structural properties of Drury-Arveson d-shift, we investigate a class of functions consisting of polynomials and completely monotone functions defined on the semi-group ℕ of non-negative integers, and its operator-theoretic counterpart which we refer to as the class of completely hypercontractive tuples of finite order. We obtain a Lévy-Khinchin type integral representation for the spherical generating tuples associated with such operator tuples and discuss its applications. ...
Ball, Karen (2005)
Electronic Communications in Probability [electronic only]
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Rosalind Young (1929)
Fundamenta Mathematicae
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