Skip to Main Content

Proceedings of the American Mathematical Society

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

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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.

 

An example of a doubly connected domain which admits a quadrature identity
HTML articles powered by AMS MathViewer

by A. L. Levin PDF
Proc. Amer. Math. Soc. 60 (1976), 163-168 Request permission

Abstract:

In this paper we construct a doubly connected domain $D \backepsilon 0$ such that $\smallint {\smallint _D}f(z)d\sigma = Af(0) + Bf’(0)$ for any analytic and area integrable in D function f, which has a single-valued integral in D.
References
  • Dov Aharonov and Harold S. Shapiro, Domains on which analytic functions satisfy quadrature identities, J. Analyse Math. 30 (1976), 39–73. MR 447589, DOI 10.1007/BF02786704
  • —, A minimal area problem in conformal mapping, Royal Inst. Tech. Res. Bull., 1973, 34 pp.
  • S. N. Mergelyan, On completeness of systems of analytic functions, Uspehi Matem. Nauk (N.S.) 8 (1953), no. 4(56), 3–63 (Russian). MR 0058698
  • J. L. Walsh, Interpolation and approximation by rational functions in the complex domain, 3rd ed., American Mathematical Society Colloquium Publications, Vol. XX, American Mathematical Society, Providence, R.I., 1960. MR 0218587
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 30A86, 30A38
  • Retrieve articles in all journals with MSC: 30A86, 30A38
Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 60 (1976), 163-168
  • MSC: Primary 30A86; Secondary 30A38
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0419777-0
  • MathSciNet review: 0419777