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Invariant Differential Operators on Siegel-Jacobi Space
invariants invariant differential operators Siegel-Jacobi space
2011/8/24
Abstract: For two positive integers $m$ and $n$, we let ${\mathbb H}_n$ be the Siegel upper half plane of degree $n$ and let ${\mathbb C}^{(m,n)}$ be the set of all $m\times n$ complex matrices. In th...
Weyl asymptotics of Bisingular Operators and Dirichlet Divisor Problem
Weyl asymptotics of Bisingular Operators Dirichlet Divisor Problem
2011/1/19
We consider a class of pseudodifferential operators defined on the product of two closed manifolds, with crossed vector valued symbols. We study the asymptotic expansion of Weyl counting function of p...
On Simultaneous Approximation by a Linear Combination of a New Sequence of Linear Positive Operators
Simultaneous approximation Linear positive operators Linear combination Voronovskaja-type asymptotic formula Modulus of continuity
2010/2/26
In [1] we introduced a new sequence of linear positive operators Mn to approximate unbounded continuous functions of exponential growth on [0,\infty). As this sequence is saturated with O(n-1), to acc...