Approximation and Interpolation by Entire Functions of Several Variables

Author:

Burke Maxim R.

Abstract

AbstractLet f : ℝn → ℝ be C and let h: ℝn → ℝ be positive and continuous. For any unbounded nondecreasing sequence ﹛ck﹜ of nonnegative real numbers and for any sequence without accumulation points ﹛xm﹜ in ℝn, there exists an entire function g : ℂn → ℂ taking real values on ℝn such thatThis is a version for functions of several variables of the case n = 1 due to L. Hoischen.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

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