Abstract
When the hyperball R ℝ(m, n) is a bounded domain in ℝ m x n, the L-B operator associated to the metric (1.58) in rectangular coordinates X=(x jα) is known to be of the form (1.63). Now we try to express the L-B operator in matrix polar coordinates.
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© 2000 Springer Science+Business Media New York
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Faraut, J., Korányi, A., Roos, G., Kaneyuki, S., Lu, Qk. (2000). The Laplace-Beltrami Operator in Various Coordinates. In: Analysis and Geometry on Complex Homogeneous Domains. Progress in Mathematics, vol 185. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1366-6_21
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DOI: https://doi.org/10.1007/978-1-4612-1366-6_21
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7115-4
Online ISBN: 978-1-4612-1366-6
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