Operator-valued typically real functions
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- by Ky Fan PDF
- Proc. Amer. Math. Soc. 124 (1996), 765-771 Request permission
Abstract:
Generalizing the classical typically real functions in complex analysis, we introduce the operator-valued typically real functions and show how to construct these functions.References
- Peter L. Duren, Univalent functions, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 259, Springer-Verlag, New York, 1983. MR 708494
- M. Naimark, Positive definite operator functions on a commutative group, Izv. Akad. Nauk SSSR Math. Ser. 7 (1943), 237–244.
- Christian Pommerenke, Univalent functions, Studia Mathematica/Mathematische Lehrbücher, Band XXV, Vandenhoeck & Ruprecht, Göttingen, 1975. With a chapter on quadratic differentials by Gerd Jensen. MR 0507768
- W. Rogosinski, Über positive harmonische Entwicklungen und typisch-reelle Potenzreihen, Math. Z. 35 (1932), 93–121.
Additional Information
- Ky Fan
- Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
- Address at time of publication: 1402 Santa Teresita Drive, Santa Barbara, California 93105-1948
- Received by editor(s): June 14, 1994
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 765-771
- MSC (1991): Primary 30-XX, 47-XX
- DOI: https://doi.org/10.1090/S0002-9939-96-03002-X
- MathSciNet review: 1285989