I want to learn about multivariate orthogonal polynomials. Is there a good textbook/survey that you could suggest? I need to see common examples like Jack's polynomials etc .. and also general theorems.
Thanks in advance.
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- $\begingroup$ Are you looking for representation-theoretical polynomials (Such as Jack, Macdonald, Schur), or of other types (Chebyshev, Koornwinder, Laguerre)? $\endgroup$Per Alexandersson– Per Alexandersson2015-03-18 19:01:42 +00:00Commented Mar 18, 2015 at 19:01
- $\begingroup$ I don't know apriori. If there would be reference(s) to learn basics of both that would be great. $\endgroup$alpx– alpx2015-03-18 19:14:20 +00:00Commented Mar 18, 2015 at 19:14
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2 The only book fully dedicated to the topic seems to be "Orthogonal Polynomials of Several Variables", by Charles F. Dunkl and Yuan Xu. Cambridge University Press, 2001
answered Mar 18, 2015 at 19:45
- $\begingroup$ I recommend this also. $\endgroup$Per Alexandersson– Per Alexandersson2015-03-19 13:59:51 +00:00Commented Mar 19, 2015 at 13:59
- $\begingroup$ I've started looking at it and it looks like a good book so far. Thanks! $\endgroup$alpx– alpx2015-03-21 19:26:05 +00:00Commented Mar 21, 2015 at 19:26