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On Weyl calculus in infinitely many variables
Weyl calculus infinite-dimensional Heisenberg group coadjoint orbit
2010/11/30
We outline an abstract approach to the pseudo-differential Weyl calculus for operators in function spaces in infinitely many variables. Our earlier approach to the Weyl calculus for Lie group represen...
Simplicial Differerential Calculus, Divided Differences, and Construction of Weil Functors
divided differences differential calculus jet functor scalar extension
2010/12/6
We define a simplicial differential calculus by generalizing divided differences from the case of curves to the case of general maps, defined on general topological vector spaces, or even on modules o...
Berry-Esséen Bounds for Long Memory Moving Averages via Stein's Method and Malliavin Calculus
limit theorems long memory moving average multiple stochastic integrals Malliavin calculus weak convergence
2010/12/1
Using the Stein method on Wiener chaos introduced in [10] we prove Berry-Ess´een bounds for long memory moving averages.
Some Results Associated With Fractional Calculus Operators Involving Appell Hypergeometric Function
Analytic functions Hardy space Fractional derivatives and fractional integrals Appell hypergeometric function Inclusion relation
2010/1/22
A class of fractional derivative operators (with the Appell hypergeometric function in the kernel) is used here to define a new subclass of analytic functions and a coefficient bound inequality is est...