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Integral Representations for Harmonic Functions of Infinite Order in a Cone

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A harmonic function of infinite order defined in an n-dimensional cone and continuous in the closure can be represented in terms of the modified Poisson integral and an infinite sum of harmonic polynomials vanishing on the boundary.

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Correspondence to Lei Qiao.

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This work was completed with the National Natural Science Foundation of China under Grant 10671022 and Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20060027023.

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Qiao, L. Integral Representations for Harmonic Functions of Infinite Order in a Cone. Results. Math. 61, 63–74 (2012). https://doi.org/10.1007/s00025-010-0076-7

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  • DOI: https://doi.org/10.1007/s00025-010-0076-7

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