منابع مشابه
Vector Orthogonal Polynomials of Dimension ?d
Vector orthogonal polynomials of dimension ?d where d is a nonzero positive integer are deened. They are proved to satisfy a recurrence relation with d + 2 terms. A Shohat{Favard type theorem and a QD like algorithm are given.
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is equivalent to (1.1) with 6„ = 0 (w^2) and Pi(0)p^0. The condition b„ = 0 (w^2) suggests the symmetric case, (i.e.,P„( — x) = ( —l)"P„(x)) but this is denied by the condition Pi(0) ^0. (In fact, (1.2) shows that Pn( — r)^0 whenever Pn(r)=0.) It then seems natural to ask what relations exist between a set of polynomials satisfying (1.2) and the corresponding symmetric polynomials which would b...
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In this paper we introduce and discuss a new method for the construction of time localized bases for polynomial subspaces of an L2-space with arbitrary weight. Our analysis is based upon the theory of orthogonal polynomials. Whereas the frequency localization will be predetermined by the choice of the polynomial spaces, the time localization will be realized by the choice of special basis funct...
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ژورنال
عنوان ژورنال: Mediterranean Journal of Mathematics
سال: 2019
ISSN: 1660-5446,1660-5454
DOI: 10.1007/s00009-019-1449-0