Geodesic
The Spherical Functions Related to the Root System B 2
Canadian mathematical bulletin, Tome 45 (2002) no. 3, pp. 436-447

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we give an integral formula for the eigenfunctions of the ring of differential operators related to the root system ${{B}_{2}}$ .
DOI : 10.4153/CMB-2002-046-x
Mots-clés : 43A90, 22E30, 33C80 
Sawyer, P. The Spherical Functions Related to the Root System B 2. Canadian mathematical bulletin, Tome 45 (2002) no. 3, pp. 436-447. doi: 10.4153/CMB-2002-046-x
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[1] [1] Beerends, R. J., Some special values for the BC type hypergeometric function. Contemp.Math. 138 (1992), 138–1992. Google Scholar

[2] [2] Heckman, G. J., Root systems and hypergeometric functions II. Compositio Math. 64 (1987), 64–1987. Google Scholar

[3] [3] Heckman, G. J. and Opdam, E. M., Root systems and hypergeometric functions I. Compositio Math. 64 (1987), 64–1987. Google Scholar

[4] [4] Helgason, Sigurdur, Group and Geometric Analysis. Academic Press, New York, 1984. Google Scholar

[5] [5] Macdonald, I. G., Symmetric functions and Hall polynomials. 2nd Edition, Clarendon Press, Oxford, 1995. Google Scholar

[6] [6] Ol'shanetskii, M. A. and Perelomov, A. M., Quantum systems that are connected to root systems, and radial parts. (Russian) Funktsional. Anal. i Prilozhen. (2) 12 (1978), 12–1978, 96. Google Scholar

[7] [7] Opdam, E. M., Root systems and hypergeometric functions III. Compositio Math. 67 (1988), 67–1988. Google Scholar

[8] [8] Opdam, E. M., Root systems and hypergeometric functions IV. Compositio Math. 67 (1988), 67–1988. Google Scholar

[9] [9] Rudin, Walter, Real and Complex Analysis. McGraw Hill Series in Higher Mathematics, 2nd edition, 1974. Google Scholar

[10] [10] Sawyer, P., Spherical functions on symmetric cones. Trans. Amer.Math. Soc. 349 (1997), 349–1997. Google Scholar

[11] [11] Sawyer, P., The eigenfunctions of a Schrödinger operator associated to the root system A . Quart. J. Math. Oxford Ser. 2 50 (1999), 50–1999. Google Scholar

[12] [12] Sawyer, P., Spherical functions on SO(p, q)= SO(p) × SO(q). Canad. Math. Bull. (4) 42 (1999), 42–1999. Google Scholar

[13] [13] Sekiguchi, Jiro, An Euler type integral formula for zonal spherical functions on SO(m, 2)= SO(m) × SO(2). Bull. Univ. Electro-Comm. (1) 4 (1991), 4–1991. Google Scholar

[14] [14] Smith, Kennan T., Primer of modern analysis. Bogden and Quigley, Inc., 1971. Google Scholar

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