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| THE HILBERT BOUNDARY PROBLEM OF DOUBLY PERIODIC ANALYTIC FUNCTIONS |
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Citation： |
Lu Jiangke.THE HILBERT BOUNDARY PROBLEM OF DOUBLY PERIODIC ANALYTIC FUNCTIONS[J].Chinese Annals of Mathematics B,1988,9(1):38~49 |
| Page view： 944
Net amount： 617 |
Authors： |
Lu Jiangke; |
Foundation： |
Projects supported by the Scientific Fund of the Chinese Academy of Sciences. |
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| Abstract： |
The doubly periodic Hilbert boundary valne problem is discussed in this paper. First,certain kind of integral representations of doubly quasi-periodie analytic functions in multiplication is established so that the Dirichlet problem of such functions is solved. Then, by the method of regularization；the Hilbert boundary value problem is transferred to such a problem, and it is reduced at length to some Fredholm integral equation. The number of solutions and conditions of solvability as well as the form , of the general solution are obtained. |
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