Invertibility in the Flag Kernels Algebra on the Heisenberg Group |
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Authors: | Grzegorz K?pa |
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Institution: | 1.Institute of Mathematics,University of Wroc?aw,Wroc?aw,Poland |
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Abstract: | Flag kernels are tempered distributions which generalize these of Calderón–Zygmund type. For any homogeneous group \(\mathbb {G}\) the class of operators which acts on \(L^{2}(\mathbb {G})\) by convolution with a flag kernel is closed under composition. In the case of the Heisenberg group we prove the inverse-closed property for this algebra. It means that if an operator from this algebra is invertible on \(L^{2}(\mathbb {G})\), then its inversion remains in the class. |
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