Orthogonal polynomials associated to almost periodic Schrödinger operators. A trend towards random orthogonal polynomials
نویسندگان
چکیده
منابع مشابه
Almost periodic sequences with respect to orthogonal polynomials
Let (Rn(x))n∈N0 be an orthogonal sequence inducing a polynomial hypergroup on N0. The basic facts on polynomial hypergroups and their characters can be found in the monograph [1] or in the papers [6, 7]. A recent review is [8]. The Banach space of almost periodic functions on hypergroups is introduced and studied by the author in [5]. Weakly almost periodic functions are the topic of [12]. It i...
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Generalizing the work of [5, 41], we give a general solution to the following problem: describe the triplets (Ω, g, μ) where g = (g(x)) is the (co)metric associated to the symmetric second order differential operator L(f) = 1 ρ ∑ ij ∂i(g ρ∂jf), defined on a domain Ω of R and such that L is expandable on a basis of orthogonal polynomials on L(μ), and dμ = ρ(x)dx is some admissible measure. Up to...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1993
ISSN: 0377-0427
DOI: 10.1016/0377-0427(93)90313-z