most recent 30 from http://mathoverflow.net 2013-05-18T22:22:15Z http://mathoverflow.net/feeds/question/107455 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/107455/references-on-hyperbolic-harmonics Yves 2012-09-18T11:17:26Z 2012-09-19T00:55:31Z

<p>I am looking for good and elementary references on hyperbolic harmonics (which form an orthonormal basis spanning the space of functions on the unit pseudo-sphere).</p>

http://mathoverflow.net/questions/107455/references-on-hyperbolic-harmonics/107457#107457 Carlo Beenakker 2012-09-18T11:51:43Z 2012-09-18T11:51:43Z

<p>brief and elementary:</p> <p>François Labourie, <A HREF="http://www.math.u-psud.fr/~labourie/preprints/pdf/HypGeom.pdf" rel="nofollow">A short and dirty introduction to hyperbolic surfaces</A> (see chapter 6 on harmonic functions)</p> <p>more advanced:</p> <p>Manfred Stoll, <A HREF="http://www.math.sc.edu/people/faculty/stoll/hyperbolic.pdf" rel="nofollow">Harmonic function theory on real hyperbolic space</A></p>