Three systems of orthogonal polynomials and L2-boundedness of associated operators

Musonda, JohnMathematics/Applied Mathematics,Malardalen Univ, Div Appl Math, Box 883, S-72123 Vasteras, Sweden. (författare)

In this paper, we describe three systems of orthogonal polynomials belonging to the class of Meixner-Pollaczek polynomials, and establish some useful connections between them in terms of three basic operators that are related to them. Furthermore, we investigate boundedness properties of two other operators, both as convolution operators in the translation invariant case where we use Fourier transforms and for the weights related to the relevant orthogonal polynomials. We consider only the most important but also simplest case of L-2-spaces. However, in subsequent papers, we intend to extend the study to L-p-spaces (1 < p < infinity).

Kaijser, StenUppsala universitet,Matematiska institutionen,Uppsala University, Sweden(Swepub:uu)stenkaij (författare)
Mathematics/Applied MathematicsMalardalen Univ, Div Appl Math, Box 883, S-72123 Vasteras, Sweden. (creator_code:org_t)

Ingår i:Journal of Mathematical Analysis and Applications: Elsevier BV459:1, s. 464-4750022-247X1096-0813

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