A note on monomials in several complex variables
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- by G. G. Weill PDF
- Proc. Amer. Math. Soc. 42 (1974), 541-542 Request permission
Abstract:
Monomials in ${C^n}$ are characterized in the polydisk algebra $A({U^n})$ as functions whose modulus is constant on the distinguished boundary of ${U^n}$ and whose zero set has an intersection with the diagonal of ${U^n}$ consisting (at most) of the origin.References
- R. Bojanić and W. Stoll, A characterization of monomials, Proc. Amer. Math. Soc. 13 (1962), 115–116. MR 140715, DOI 10.1090/S0002-9939-1962-0140715-2
- Walter Rudin, Function theory in polydiscs, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0255841
- S. Bochner, Entire functions in several variables with constant absolute values on a circular uniqueness set, Proc. Amer. Math. Soc. 13 (1962), 117–120. MR 140716, DOI 10.1090/S0002-9939-1962-0140716-4
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 541-542
- MSC: Primary 32A15; Secondary 32E25
- DOI: https://doi.org/10.1090/S0002-9939-1974-0328116-3
- MathSciNet review: 0328116