Strict positive definiteness on spheres

Analysis (Germany)

Volumn 19, Issue 3, 1999, Pages 217-234

  Menegatto, V A ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85013579658     PISSN: 01744747     EISSN: 21966753     Source Type: Journal    
DOI: 10.1524/anly.1999.19.3.217     Document Type: Article

References (12)

1. Askey, R., “Orthogonal Polynomials and Special Functions”, Regional Conference Series in Applied Mathematics, Vol. 21, SIAM, Philadelphia, 1975.
2. Cheney, E.W., Approximation using positive definite functions, in “Approximation Theory VIII”, C.K. Chui and L.L. Schumaker (eds), pp.1–24, 1995.
3. Im, E.I., Narrower eigenbounds for Hadamard Products, Linear Algebra Appl., 247 (1997), 141–144.
4. Menegatto, V.A., Strictly positive definite kernels on the circle, Rocky Mountain J. Math. 25(1995), 3, 1149–1163.
5. Menegatto, V.A., Strictly positive definite kernels on the Hilbert sphere, Appl. Anal., 55(1994), 91–101.
6. Rainville, E.D., “Special Functions”, The Macmillan Company, New York, 1960.
7. Ron, A. and X. Sun, Strictly positive definite functions on pheres in Euclidean spaces. Math. Comp., 65(1996), 1513–1530.
8. Saff, E.B. and A.D. Snidder, “Fundamentals of Complex Analysis for Mathematics, Science, and Engineering”, Prentice-Hall, Inc, Englewood Cliffs, New Jersey, 1976.
9. Schoenberg, I.J., Positive definite functions on spheres, Duke Math. J., 9(1942), 96–108.
10. Schreiner, M., On a new condition for strictly positive definite functions on spheres, Proc. Amer. Math. Soc., 125(1997), 531–539.
11. Vilenkin, N.I., “Special Functions and the Theory of Group Representations”, Translations of Mathematical Monographs, Vol. 22, American Mathematical Society, Providence, 1968.
12. Xu, Y. and E.W. Cheney, Strictly positive definite functions on spheres, Proc. Amer. Math. Soc., 116(1992), 977–981.