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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Jacobi polynomial expansions with positive coefficients and imbeddings of projective spaces


Author: Richard Askey
Journal: Bull. Amer. Math. Soc. 74 (1968), 301-304
MathSciNet review: 0220987
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References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. Richard Askey and Stephen Wainger, A transplantation theorem for ultraspherical coefficients, Pacific J. Math. 16 (1966), 393–405. MR 0217508 (36 #597)
  • 2. S. Bochner, Hilbert distances and positive definite functions, Ann. of Math. (2) 42 (1941), 647–656. MR 0005782 (3,206d)
  • 3. Ervin Feldheim, Contributions à la théorie des polynomes de Jacobi, Mat. Fiz. Lapok 48 (1941), 453–504 (Hungarian, with French summary). MR 0018280 (8,267i)
  • 4. Ramesh Gangolli, Positive definite kernels on homogeneous spaces and certain stochastic processes related to Lévy’s Brownian motion of several parameters, Ann. Inst. H. Poincaré Sect. B (N.S.) 3 (1967), 121–226. MR 0215331 (35 #6172)
  • 5. L. Gegenbauer, Zur Theorie der Funktionen C, Denksch. der Akad. der Wiss. in Wien, Math. natur. Klasse 48 (1884), 293-316.
  • 6. L. K. Hua, Harmonic analysis of functions of several complex variables in the classical domains, Translated from the Russian by Leo Ebner and Adam Korányi, American Mathematical Society, Providence, R.I., 1963. MR 0171936 (30 #2162)
  • 7. I. J. Schoenberg, Positive definite functions on spheres, Duke Math. J. 9 (1942), 96–108. MR 0005922 (3,232c)
  • 8. Gabor Szegö, Orthogonal polynomials, American Mathematical Society Colloquium Publications, Vol. 23. Revised ed, American Mathematical Society, Providence, R.I., 1959. MR 0106295 (21 #5029)


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1968-11931-7
PII: S 0002-9904(1968)11931-7