Title

Functions Whose Moments Form A Geometric Progression

Keywords

Moment problems; Moments; Orthogonal polynomials on R; Orthogonal polynomials on the unit circle

Abstract

We start with a measure space L2[R, dµ]and give a lower bound for the norm of functions in this space whose first N moments form a geometric progression.Several consequences are investigated including a new criterion for the determinacy of the moment problem.The corresponding questions on the unit circle are also investigated. In particular we give a lower bound for the L2 norm of interpolatory functions in the disk algebra.

Publication Date

1-1-2008

Publication Title

Topics in Classical Analysis and Applications in Honor of Daniel Waterman

Number of Pages

110-118

Document Type

Article; Book Chapter

Personal Identifier

scopus

DOI Link

https://doi.org/10.1142/9789812834447_0008

Socpus ID

84969695617 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84969695617

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