Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Orthogonal polynomials and quadratic extremal problems
HTML articles powered by AMS MathViewer

by J. M. McDougall PDF
Trans. Amer. Math. Soc. 354 (2002), 2341-2357 Request permission

Abstract:

The purpose of this paper is to analyse a class of quadratic extremal problems defined on various Hilbert spaces of analytic functions, thereby generalizing an extremal problem on the Dirichlet space which was solved by S.D. Fisher. Each extremal problem considered here is shown to be connected with a system of orthogonal polynomials. The orthogonal polynomials then determine properties of the extremal function, and provide information about the existence of extremals.
References
Similar Articles
Additional Information
  • J. M. McDougall
  • Affiliation: Department of Mathematics and Computer Science, Colorado College, Colorado Springs, Colorado 80903
  • Email: JMcDougall@ColoradoCollege.edu
  • Received by editor(s): July 7, 1998
  • Received by editor(s) in revised form: May 8, 2001
  • Published electronically: February 1, 2002
  • © Copyright 2002 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 354 (2002), 2341-2357
  • MSC (2000): Primary 30A10, 31C25; Secondary 30D55, 33C45, 49J50
  • DOI: https://doi.org/10.1090/S0002-9947-02-02960-4
  • MathSciNet review: 1885655