Positivity of the heat kernel for ultraspherical polynomials and similar functions

Author:

Bochner Salomon

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference6 articles.

1. Bellman, R., Some properties of summation kernels. Duke Math. J. 15, 1013?1019 (1948).

2. Bochner, Quasi-analytic functions, Laplace operator, positive kernels. Annals of Mathematics, 5, 68?90 (1950).

3. Bochner, Positive zonal functions on spheres. Proceedings Nat. Acad. Sciences, 4, 1141?1147 (1954).

4. Bochner, Sturm-Liouville and heat equations whose eigenfunctions are ultraspherical polynomials or associated Bessel functions. Proceedings of the Conference on Differential Equations, held at the University of Maryland, March 17, 18, 19, 1955. Pages 23?48.

5. Gasper, G., Positivity and the convolution structure for Jacobi Series. Annals of Mathematics 93, 112?118 (1971)

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