Zeros of entire functions in several complex variables
HTML articles powered by AMS MathViewer
- by Richard A. Kramer PDF
- Trans. Amer. Math. Soc. 172 (1972), 143-160 Request permission
Abstract:
A geometric condition on the zero set of an entire function $f$ in ${{\mathbf {C}}^N}(N \geq 1)$ is presented which is both necessary and sufficient for $f$ to have the same zeros as some polynomial in ${{\mathbf {C}}^N}$.References
- Robert C. Gunning and Hugo Rossi, Analytic functions of several complex variables, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1965. MR 0180696
- Walter Rudin, A geometric criterion for algebraic varieties, J. Math. Mech. 17 (1967/1968), 671–683. MR 0219750
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 172 (1972), 143-160
- MSC: Primary 32A15
- DOI: https://doi.org/10.1090/S0002-9947-1972-0311932-4
- MathSciNet review: 0311932