I Do hyperbolic harmonics exist?

gerald V
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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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