Some extensions of the Mehler formula.
L. Carlitz (1970)
Collectanea Mathematica
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Displaying similar documents to “Weak type (1,1) estimates of the maximal function for the Laguerre semigroup in finite dimensions.”
Some extensions of the Mehler formula.
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A group-theoretic method of obtaining more general class of generating functions from a given class of partial quasi-bilateral generating functions involving Hermite, Laguerre and Gegenbaur polynomials are discussed.
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Some combinatorial and probabilistic inequalities and their application to Banach space theory
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Orthogonal polynomials and middle Hankel operators on Bergman spaces
Lizhong Peng, Richard Rochberg, Zhijian Wu (1992)
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We introduce a sequence of Hankel style operators , k = 1,2,3,..., which act on the Bergman space of the unit disk. These operators are intermediate between the classical big and small Hankel operators. We study the boundedness and Schatten-von Neumann properties of the and show, among other things, that are cut-off at 1/k. Recall that the big Hankel operator is cut-off at 1 and the small Hankel operator at 0.