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Banach Gabor frames with Hermite functions: polyanalytic spaces from the Heisenberg group
Gabor frames Heisenberg group Hermite functions
2011/2/23
Gabor frames with Hermite functions are equivalent to sampling sequences in true Fock spaces of polyanalytic functions. In the L2-case, such an equivalence follows from the unitarity of the polyanalyt...
Heisenberg categorification and Hilbert schemes
Heisenberg categorification Hilbert schemes
2010/12/13
Given a finite subgroup SL2(C) we define an additive 2-category H whose Grothendieck
group is isomorphic to an integral form h of the Heisenberg algebra. We construct...
给出四元素Heisenberg群上次Laplace算子的平均值定理,并用其导出Hardy不等式和不确定原理.
在Heisenberg群${\it {\it H}}^{n}$中对微分不等式$\mid{\it \Delta}_{{\it H}^{n}}u \mid\leq \frac{C}{d(z,t)^{2}}\psi \mid u\mid$的非负解证明了某个唯一延拓性结果.