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Boundary Value Problems for Various Boundaries of Hermitian Symmetric Spaces

✍ Scribed by Nobukazu Shimeno

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
249 KB
Volume
170
Category
Article
ISSN
0022-1236

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✦ Synopsis

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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Nemytskii-type differential equation in a Hilbert space X satisfying a relationship of the form x 1 = G x 0 is investigated. Here G is a prespecified operator defined on X.