ORTHOGONALITY MEASURE FOR SUBSEQUENCES OF HERMITE POLYNOMIALS

Monika Maj
2001 Demonstratio Mathematica  
In this paper we prove the uniqueness of the orthogonality measure for special subsequences of Hermite polynomials. Unauthenticated Download Date | 3/24/20 12:22 AM 702 M. Maj is a martingale and a Markov process (we use the typical denotation for cr-fields generated by a Wiener process F< t = (r(W s , s(2p+i) : t« = 0,1,...} for fixed n and p,p € N, fc!! = 1 • 3 •... • k, where k = 2n + 1, n <E N, 1 p P 2p (x) = -= fl + ®oi + ... + x 2p a 2p -£ (2i-l)!!aJ, V ¿TT L i=1 J
doi:10.1515/dema-2001-0320 fatcat:ekyhet5efvafnowihubpi3ejbe