Continuous bizonal positive definite kernels on the spheres in β«ήβ¬ q are shown to be a series of disk polynomials with nonnegative coefficients. These kernels are the complex analogs of the so-called positive definite functions on real spheres intro-Ε½ . duced and characterized by I. J. Schoenberg 19
β¦ LIBER β¦
Positive definite kernels on the complex Hilbert sphere
β Scribed by Jens Peter Reus Christensen; Paul Ressel
- Publisher
- Springer-Verlag
- Year
- 1982
- Tongue
- French
- Weight
- 348 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0025-5874
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In this article, we study the structure of positive-definite Toeplitz kernels on free Ε½ . semigroups called also multi-Toeplitz and its implications in noncommutative dilation theory, harmonic analysis on Fock spaces, prediction and interpolation theory for stationary stochastic processes. A paramet