Abstract
A well-known decomposition of the L 2 space of a bounded domain in the complex plane is extended here to the context of hyperbolic n-space. We will use the model of upper half-space with the hyperbolic metric. Applications to boundary value problems for the hyperbolic Laplacian and another Laplace operator are indicated.
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Dedicated to Carlos Berenstein on the occasion of his 60th birthday.
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Qiao, Y., Ryan, J. (2005). Orthogonal Projections on Hyperbolic Space. In: Sabadini, I., Struppa, D.C., Walnut, D.F. (eds) Harmonic Analysis, Signal Processing, and Complexity. Progress in Mathematics, vol 238. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4416-4_9
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DOI: https://doi.org/10.1007/0-8176-4416-4_9
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