Abstract
Consider the open disk D = {|z| > 1} in C with the boundary T = {|z| = 1}. The classical Poisson kernel is defined by
for z ∈ D , t ∈ T , and the Poisson transform Pf on D of a function f on T is given by
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© 1984 Birkhäuser Boston, Inc.
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Schlichtkrull, H. (1984). Boundary values and Poisson integral representations. In: Hyperfunctions and Harmonic Analysis on Symmetric Spaces. Progress in Mathematics, vol 49. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-5298-6_5
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DOI: https://doi.org/10.1007/978-1-4612-5298-6_5
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-9775-8
Online ISBN: 978-1-4612-5298-6
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