A (LITTLE) STEP TOWARDS ORTHOGONALITY OF ANALYTIC POLYNOMIALS

[摘要] Orthogonality of polynomials in a complex variable has been investigated rather occasionally (Faber polynomials and their generalizations are the most customary), though different classes of such polynomials appear in any book on complex approximation. It turns out that they are of quite different nature than those on the real line. Here we wish to point out some aspects of their behavior in general as well as to discuss some examples.

[发布日期] 1993-12-31

[关键词] ANALYTIC POLYNOMIALS;ORTHOGONALITY OF INNER PRODUCT TYPE;ORTHOGONALITY OF POSITIVE FORM TYPE;ORTHOGONALITY OF STRONGLY POSITIVE FORM TYPE;REPRODUCING KERNEL HILBERT SPACE