Each Non-Zero Convolution Operator on the Entire Functions Admits a Continuous Linear Right Inverse.
Reinhold Meise, B. Alan Taylor (1988)
Mathematische Zeitschrift
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Reinhold Meise, B. Alan Taylor (1988)
Mathematische Zeitschrift
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Z. Zieleźny (1967)
Studia Mathematica
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Z. Zieleźny (1966)
Colloquium Mathematicae
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George Costakis, Panagiotis Mavroudis (2008)
Colloquium Mathematicae
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Dietmar Vogt, Reinhold Meise (1987/88)
Mathematische Annalen
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Z. Zieleźny (1969)
Studia Mathematica
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Tobias Lorson, Jürgen Müller (2015)
Studia Mathematica
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A class of convolution operators on spaces of holomorphic functions related to the Hadamard multiplication theorem for power series and generalizing infinite order Euler differential operators is introduced and investigated. Emphasis is placed on questions concerning injectivity, denseness of range and surjectivity of the operators.
S. R. Yadava (1972)
Matematički Vesnik
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Abdullah, S., Zielezny, Z. (1983-1984)
Portugaliae mathematica
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Brian Fisher, Emin Özcag (1991)
Publications de l'Institut Mathématique
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Kazimierz Urbanik (1987)
Colloquium Mathematicum
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Oscar Blasco (1988)
Mathematische Zeitschrift
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Anna Kula (2011)
Banach Center Publications
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The q-convolution is a measure-preserving transformation which originates from non-commutative probability, but can also be treated as a one-parameter deformation of the classical convolution. We show that its commutative aspect is further certified by the fact that the q-convolution satisfies all of the conditions of the generalized convolution (in the sense of Urbanik). The last condition of Urbanik's definition, the law of large numbers, is the crucial part to be proved and the non-commutative...
Nedeljkov, M., Pilipović, S. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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J. Kucharczak (1988)
Colloquium Mathematicae
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G.L. Krabbe (1958)
Mathematische Zeitschrift
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