Quaternion H-type group and differential operatorΔ_λ |
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作者单位: | Department of Mathematics Georgetown University,Department of Mathematics,University of Bergen,Washington DC 20057,USA,Johannes Brunsgate 12,Bergen 5008,Norway |
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摘 要: | We study the relations between the quaternion H-type group and the boundary of the unit ball on the two-dimensional quaternionic space.The orthogonal projection of the space of square integrable functions defined on quaternion H-type group into its subspace of boundary values of q- holomorphic functions is considered.The precise form of Cauchy-Szeg(?)kernel and the orthogonal projection operator is obtained.The fundamental solution for the operatorΔ_λis found.
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