Timeline for Gegenbauer's addition theorem for Jacobi polynomials
Current License: CC BY-SA 4.0
6 events
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| Dec 19, 2019 at 17:10 | comment | added | Josiah Park | Levenshtein's paper does this well too, although it is not primarily concerned with the expansions, but rather applications. V. I. Levenshtein. Designs as maximum codes in polynomial metric spaces. Acta Appl. Math.29(1992),1–82. MR1192833 | |
| Dec 19, 2019 at 17:00 | comment | added | Josiah Park | Wang classified all the compact two-point homogeneous spaces: H.-C. Wang.Two-Point Homogeneous Spaces. Ann. of Math.55(1952), 177–191. MR0047345, and Gangolli's paper: Positive definite kernels on homogeneous spaces and certain stochastic processes related to L ́evy’s Brownian motion of several parameters. Ann. Inst. H. Poincar ́e Sect. B (N.S.)3(1967), 121–226. MR0215331, might also be relevant. There are also more recent papers which deal with expansions into harmonics, such as the following: M. M. Skriganov. Point distribution in compact metric spaces, III. Two-point homogeneous spaces. | |
| Dec 19, 2019 at 16:46 | comment | added | user114668 | Thank you for your answer! I am in fact interested in finding cases with other functions on the rhs. of the addition theorem. If you had a reference for the harmonics of other two-point homogeneous spaces, that could be immensely helpful. | |
| Dec 19, 2019 at 15:17 | history | edited | Josiah Park | CC BY-SA 4.0 |
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| Dec 19, 2019 at 15:11 | history | edited | Josiah Park | CC BY-SA 4.0 |
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| Dec 19, 2019 at 15:06 | history | answered | Josiah Park | CC BY-SA 4.0 |