Do hyperbolic harmonics exist?

In summary, the concept of hyperbolic harmonics refers to mathematical functions that extend the idea of harmonics into hyperbolic geometry. These functions can be analyzed in various contexts, such as physics and engineering, where they may model phenomena involving wave propagation and resonance in non-Euclidean spaces. Their existence and applications depend on the underlying mathematical framework and the specific conditions being studied.
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gerald V
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TL;DR Summary
Do functions comparable to the spherical harmonics exist in case of sign changes in the algebra?
With the algebra so(3) are associated the spherical harmonics. I would assume that comparably with the algebra so(2,1) are associated functions that can be addressed as hyperbolic harmonics. But I nowhere found any reference to them. Do they exist and if so, where can they be found?

Thank you very much in advance.
 
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