| Q—全纯矩阵值函数的Plemelj公式 |
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| 引用本文： | 曾岳生.Q—全纯矩阵值函数的Plemelj公式[J].高师理科学刊,1992(4). |
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| 作者姓名： | 曾岳生 |
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| 作者单位： | 湖南怀化师专 |
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| 摘 要： | 本文研究m×s阶矩阵值函数的Cauchy型积分的性质.证明它的Q—全纯性生边界极限值的Holder连续性,建立了Cauchy主值积分的Pojncare—Bertrand公式和反演公式.
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| 关 键 词： | Q—全纯 Plemelj公式 Cauchy型积分 生成解 φ—导数 |
On Plemelj Formula of the Q-Holomorphic Matrix Value Functions |
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| Zeng Yuesheng.On Plemelj Formula of the Q-Holomorphic Matrix Value Functions[J].Journal of Science of Teachers＇College and University,1992(4). |
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| Authors: | Zeng Yuesheng |
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| Abstract: | In this paper we study the properties of the Cauchy type integral
for the MXS matrix valued function, here L is simple smooth closed curve. μ(Z) ∈Hλ(L), 0<λ<1. We show that it is Q - holomorphic for all Z∈- and boundary valued W±(t) t∈L) arc Holder - continuous, and establish analogues of the classical Poincare - Bertrand formula and inversion formula of the Cauchytype principal valued integral. |
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| Keywords: | Q - holomorphic Plemelj- formula Cauchy type integral Generatingsolution Φ-derivative |
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