Reproducing kernel Hilbert spaces generated by the binomial coefficients
From MaRDI portal
Publication:491464
zbMath1332.46035arXiv1212.1564MaRDI QIDQ491464
Daniel Alpay, Palle E. T. Jorgensen
Publication date: 25 August 2015
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.1564
Binomial coefficients; factorials; (q)-identities (11B65) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Multilinear and polynomial operators (47H60)
Related Items
White noise space analysis and multiplicative change of measures, Multi Variable Semicircular Processes From ∗-Homomorphisms and Operators, Harmonic analysis on graphs via Bratteli diagrams and path-space measures, Infinite weighted graphs with bounded resistance metric, New Hilbert space tools for analysis of graph Laplacians and Markov processes, Nonuniform sampling, reproducing kernels, and the associated Hilbert spaces
Cites Work
- Unnamed Item
- Asymptotically optimum estimation of a probability in inverse binomial sampling under general loss functions
- Estimation of a probability with optimum guaranteed confidence in inverse binomial sampling
- Basic properties of discrete analytic functions
- Expansions of \(q\)-Bernoulli numbers
- Homomorphisms of \(l^1\)-algebras on signed polynomial hypergroups
- Markov measures and extended zeta functions
- On discrete analytic functions: products, rational functions and reproducing kernels
- Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
- \(q\)-Bernoulli numbers and polynomials
- STATES ON THE CUNTZ ALGEBRAS AND p-ADIC RANDOM WALKS
- The Shortest Clopper–Pearson Confidence Interval for Binomial Probability
- Theory of Reproducing Kernels