Boundary Value Problems for Various Boundaries of Hermitian Symmetric Spaces |
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Authors: | Nobukazu Shimeno |
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Institution: | Department of Applied Mathematics, Okayama University of Science, Okayama, 700-0005, Japanf1 |
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Abstract: | The image of the Poisson transform on a principal series representations on a boundary component of a Hermitian symmetric space is considered. We prove that the image is characterized by a covariant differential operator on a homogeneous line bundle on the symmetric space. |
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