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The Rota umbral calculus and the Heisenberg-Weyl algebra

Published online by Cambridge University Press:  01 July 2016

O. V. Viskov
O. V. Viskov*
Affiliation:
Steklov Mathematical Institute, Moscow
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Abstract

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Type
Invited Papers
Information
Advances in Applied Probability , Volume 24 , Issue 4 , December 1992 , pp. 772
Copyright
Copyright © Applied Probability Trust 1992 

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References

Roman, S. Μ. (1984) The Umbral Calculus. Academic Press, Orlando, FL.Google Scholar
Rota, G.-C. (1964) The number of partitions of a set. Amer. Math. Monthly 71, 498–504.CrossRefGoogle Scholar
Rota, G.-C. (1975) Finite Operator Calculus Academic Press, New York.Google Scholar
Stanley, R. P. (1988) Differential posets. J. Amer. Math. Soc. 1, 919–961.CrossRefGoogle Scholar
Viskov, O. V. (1981) A class of linear operators. In Generalized Functions and their Applications, Proc. Inter. Conference, Moscow, pp. 110–120 (in Russian).Google Scholar
Viskov, O. V. (1986) A noncommutative approach to classical problems of analysis. Trudy Mat. Inst. Steklov 177, 21–32. (in Russian). English translation in Proc. Steklov Inst. Math. 1988 (4), 21–32.Google Scholar
Viskov, O. V. (1991) On the ordered form of noncommutative binomial. Uspechi Mat. Nauk 46, 209–210. (in Russian).Google Scholar